You were my professor for differential equations a couple years back, I am now in my final semester for Electrical Engineering. With out a doubt you were by far my favorite and best professor iv had for my entire degree. Thank you
Hey! I'm an electrical engineering student as well, but this is my first semester. I'm tryna keep up with all the mathematics we've got to study and, yk... You went through the same thing. I just have a question: what would it be a piece of advise you'd give a random guy that's studying your same career? I'd appreciate any answer, mate.
@@tomasvelandia6507 I'm also an EE senior and my best advice would be to join an engineering design project/club or research project as soon as possible so you can get some hands-on experience. This will set you up to get internships, make connections, and it will also help you determine if EE (or engineering in general) is really right for you
@@tomasvelandia6507 Been terrible at math my entire life, graduated with my BSEE last year. Use all the resources you can, write "notes" in your notes on what the relationships are and why you are doing the calculations. I'm going to assume you're in the calc series right now. The hardest part about calculus wasn't even the concepts, it was remembering all the algebraic rules which stopped me from focusing on the calculus. The homework problems 1-5 are always the concept questions! Do not take these lightly, they're simple but they really drive home the point of the entire chapter, the rest is just moving numbers around...it will always start off like an example you have seen in class and once you start thinking it gets hard, there is always some trick to either factor out a number or use some trigonometric substitution due to equivalence (VERY COMMON IN CALC 2 /3 ) then it simplifies back to an example problem. Best of luck
@@tomasvelandia6507I graduated with chemical engineering 4 years ago, I’d say get close with your junior/senior year professors, attend program events to network and teach yourself the section before they do it in class
Not gonna lie, I clicked because I saw a dude capable of overhead pressing 35 kg Nothing wrong with my fellow stickmen, but I'm definitely around for some powerlifting lectures
Yeah because gaining big muscles is easy because all you have to do is the same basic repetitions over or an over and over learning. Math is something that is very difficult to do and may actually be genetically limited or innate @@SouthernFriedPapist
First time i saw computer in 1989, my father told me “if you want be master of computer, you should be very good in mathematics”, and my journey start.
Nice video! I am reminded of back when I took differential equations. (This was long before the internet.) I forget the text that we used (it wasn't Boyce and DiPrima). Anyway, at one point the author casually mentioned the "well-known gamma function." Well, I did not know it. So I went to library to read up on the well-known gamma function. I must have ransacked a half-dozen books to find the well-known gamma function, but every single one of them did not discuss the well-known gamma function. Instead, without any explanation, each book referred to the well-known gamma function as "the well-known gamma function." I think that was the start of my insanity.
I discovered you due to your Spanish channel, as I'm from Spain. I really appreciate your effort, because I'm a student of the first year of the equivalent to bachelor degree with major in mathematics and minor in statistics and I'm struggling to study on my own on my home. I have discovered that books are a really enjoyable and efficient way of learning, thing I didn't even consider during secondary school. Thank you so much!!!
WUT He has a Spanish channel? Must check ASAP Because yo soy de Argentina y la verdad que estudiar matemáticas en ingles no es tan difícil pero me parece mejor idea hacerlo en español!
For Gamelin & Greene, basic analysis is a must. Both authors have a background in complex analysis, so there is a heavy emphasis on metric spaces (1/4 of the book).
I like "Mathematical Methods for Physicists" by Arfken and Weber. It covers a lot of ground and is good for physicists and engineers. Probably not very good as a first course in most subjects, but it doesn't skip on important proofs and concepts, and as a refresher, it is perfectly adequate.
This channel is fantastic. If you want to learn by yourself you can. All is shown by the Math Sorcerer. You men and women leave TikTok and learn smart thing. Today you can learn everything with the net.
I struggled with mathematics in high school but I think mainly because I couldn't get my questions answered. Might be a good idea to pick up some of these books. Much thanks for the knowledge.
Since people look at the comments a lot, I guess I'll share two books that I recommend: Introduction to Smooth Manifolds by John M. Lee and An Introduction to Differentiable Manifolds and Riemannian Geometry by Boothby. I recommend both of these simply because they're *actually good introductory differential geometry books,* which are surprisingly uncommon (Math Sorcerer also talked about one in the video). John M. Lee wrote three books about manifolds, and the first one is a book on Topological Manifolds (which works great as a prerequisite to either of these books, I think) :3
Another great book: An Invitation to Algebraic Geometry by Smith. Algebraic Geometry has a reputation for being very abstract but this book is really accessible to upper level undergraduate students in case anyone was looking for something like that
37:57 What do you mean? Differential Geometry was mandatory in my undergrads degree. It was a little tedious at first but then I understood why things were the way they were and I loved it!
The sorcerer's magnum opus ! A magical math book for every math subject ... Sincere thanks ! The ramanujam book seems to be the one book to rule them all and the one book to bind them ... though it simply just doesn't seem that way (except to someone like ramanujam, perhaps) !
I like your recommendations (and used some of them in undergraduate/graduate study in mathematics). Two books I would add are "Numerical Linear Algebra" by Trefethen and "Partial Differential Equations" by Lawrence Evans. I studied numerical analysis (and completed my dissertation in numerical partial differential equations). For younger students - this is an excellent area to study (alongside material in machine learning).
Yessss, Kreyszig is so good for functional analysis! There's another edition out there with a brown cover that's ~700 pages, which contains more exercises, too. I'd also shoutout Bartle & Sherbert as another great undergrad Real Analysis text, and Royden & Fitzpatrick on the graduate side.
I took trig in the 1st semester of 11th grade in 1985. Our book was skinny and focused only on trig. I finally figured out why identities killed me, decades later. Teacher didn't cut it, she didn't teach us to phase the sine to get cosine, to divide to get tangent/cotangent, nor to invert to get cosecant/secant. The intuition of the graphs... Math Sorcerer 💯🧠💪
There is valuable content in this video. I had never heard somebody talking with so enthusiasm about math books. Here there is an undergraduated in physics paying attention.
Unrelated to the video, but i'll say it anyway: Watching your older videos vs. watching new ones has really inspired me to go to the gym aswell. I've been going for 2 weeks now and it feels really good. You look awesome by the way, seriously. Keep up the grind my friend, I respect you. Great video as always.
I'm a grad student in Data Sciene and I always feel like I can never get enough math knowledge(don't have a math bachelors) so thankyou for this so much.
I actually happened to just recently get Pedoe's Geometry. It's definitely a lot higher level than I had anticipated lol. And what you were saying about Complex Analysis has me excited to take it (hopefully next semester). Sounds like a cool course!
Great recommendations. Some of these helped me a lot. In addition, I'd probably recommend Strang's 'Linear Algebra' for his lucid explanations. For analysis, IMO the best intro was Bryant's 'Yet Another Introduction to Analysis' (it's written at a level that most high school students can understand it).
My was an engineer, old school with a sliderule and drafting table in his office at home, so I grew up with mathematics and I have read a few of these books and also have several Dover books as well
Lol I never knew you were a muscle wizard in addition to being a math sorcerer. Used to watch your videos all the time when I was in uni, I guess I gotta start watching your videos again when I start going to the gym
Re: Graph theory; for us it was part of the Discrete mathematics course (as you mentioned), which started with combinatorics and difference equations in the first half of the year and then moved onto graph theory for the latter half (second year). I'd love to get back into that fascinating subject. Thanks for the book recommendation, it's a paperback, but VERY reasonable price.
I had to take number theory and graph theory in my undergraduate, but I was also in an Applied Math program. I noticed that you didn't mention anything on mathematical modeling nor dynamical systems. Strogatz is of course the one to go to for the latter. I have a great little Dover book I'd recommend to introduce modelling: An Introduction to Mathematical Modeling - Edward A. Bender. In my graduate studies, I took a course on special functions. I have since lost the book I used and don't remember anything other than 'it had a red cover'!
Jfc dude, you look like me with my networking book pile. I like you for that, and I have not watched a single video of yours. You and your biceps have earned a subscriber.
When I took Number Theory, my alma mater required Complex Analysis (which required Intro to Real Analysis) and Abstract Algebra. We had a new faculty member teaching my course. So, he just goes hard into it the first lecture. After some students were asking a bunch of questions. He surveyed the class and found out most of the students only either have taken Intro to Real Analysis or Abstract Algebra before the class and we’re currently taking the other. Only two of the students had taken all three prerequisites. He drastically changed his approach after that. He was an interesting character. I had to get an A in that class to graduate with a high enough math GPA to get departmental honors, which I did. I remember that semester very well despite being 23 years ago. So, much was going on.
This is a great resource, and I think it is cool that you included the book that Ramanujan taught himself math with! Thanks for sharing all of this! I would like to point out the obvious. Most mortals are not Ramanujan. He was extraordinary! 😉
How cool! Keep the videos coming I look forward to them every day and they give me tons of motivation and help me to develop a plan in my self studies!
Finally a math instructor who is physically muscular and intellectual at the same time in real life. Not the media Hollywood caricature of nerdy tutors, students and instructors who are lanky and physically weak and introverted! Hollywood and the entertainment media missed their stereotypical mark once more. Thank you for showing us the mathematics material on here and thank you for your channel
I love you including the "lower level" mathematics books bc people have to start somewhere but also i am going to teach my kids math at some point (when they exist) and ive been so far removed from that part of mathematics that having strong resources collected like this rules
I always thought the Schuams Guides were an organized attempt to cover the landscape of maths in a series of books What about the Princeton Companion to Mathemetics ? I have purchased several illustrated guides to various fields of maths - helps conceptual grokking
I'm shocked at how no kind of advanced number theory seems to be part of standard curriculum in a lot of places... I've had an analytic number theory, as well as an algebraic number theory class after taking abstract algebra and I can definitely say that algebraic number theory is one of the most beautiful applications of ring theory out there and generally just very enlightening.
just bought the Basic Mathematics by Serge Lang. Hope going through this with my daughter will rekindle her love for math. She is bored with the lessons from school and I want to keep her moving along and I want to get back into math too. so hope this will be good for both of us. thanks for the recommendation.
I love sitting here at work yelling “Kenneth Ross!!” quietly as you show the Real Analysis book, currently using the 2nd edition in my Advanced Calc courses, very funny to me. You can find PDFs online if money is an issue for purchasing a physical copy.
I found this channel after passing my class 10th board's maths with a scary line, yeah I passed only with one extra number if the teacher had taken my one number only I would have wasted my 1 year and left my school, this is my 11th, so I decided right now that with your help I'm gonna improve my maths and be maths genius, not for marks, just for being a great scientist.
I did not do well with paying attention in class and maintaing the mental energy to keep up with math from 7th grade onward. I cheated my way through high-school to get by and after coming across this video I'm considering starting over at the beginning/intermediate algebra book. It sounds fun to do without a rigorous schedule and curriculum.
I'm trying to go through How To Prove It atm, and the difficulty and abstraction REALLY ramp up like crazy in section 4.3. It's actually insane. Some problems I can't even understand what they mean/what they're asking. Others I can but they're extremely convoluted and intricate.
I would like to suggest a book, and honestly I would LOVE to hear the Sorcerer's (hah, just found you on youtube and I love the name, lol) opinion on this particular book... I had this as part of my home "library" year ago, but had to sell all my books at one point due to financial difficulties :x. (sucked because they were my prized posessions - all maths, computer science, physics, logic, etc.) Anyway, I decided to start buying books agian a few years later and this was one of the first ones I got. It helped me at one point when I needed a quick brush-up on algebra and geometry, and I was stunned at how quickly that book got me back up to speed. It's so good , in facct, that I think it could be used by folks who have little to no algebra/geometry/trig going into the book. The book is called "Precalculus Mathematics in a Nutshell" by George Simmons (I just realized the first printing was from 1925! hah). ANyway, I was going to describe and link the book, but when I googled the name this video popped up... The beginning is of the book (the newest? one, which is the one I have) and a guy going over the book and showing it's contents. The latter half of the video is him talking about his own course. I'm not sure what all that is about, but I'm just linking the video for the first part where he takes a look at this book. It really is amazing for such a tiny book (under 150 pages for all 3 subjects!) th-cam.com/video/GF4uPKheG14/w-d-xo.html
Personally I'm a creative type, I create something in my head then set out to acquire specific subjects and skills to prove oe disprove it, I used have mindset of a good mathematician is one who learns all math regardless of interest, I soon came to realise that is not the case, a good mathematician has a mission mindset
I wonder why the books cost so much? It's extremely easy for us to make simple things like books, and reprint now days. Why do we charge a fortunate for knowledge when we're wanting everyone to catch up? Same can be said with college or other courses that may cost money. It's weird to me we're putting students in to debts rather than sending them with clean slates to work with. It's easy to solve the problem of clearing a debt.. just pay it off. Job = $, bank = savings, I = interest, and when investing E = Equity. You could own some equity, and sell off equity, and while having your money saved in investments those investments can build interest. So, I doubt they wanted us to have debts to learn how to pay them off. (The answer sounds like greed), but there is likely more to this hopefully.
@24:01 Nice Statistics book with problems written in English! I learned calculus by myself with the Larson math book. I couldn't do Statistics because the problems in the book used greek letters, I think it was a Larson book too, I had an issue trying to figure out which letters were variables and which letter were symbols. I got frustrated and stopped
You are, without a doubt, engaged in your true passion. But could you do it without the tank-tops? A bit too much the "mad scientist" look for me. Keep up the good work! :)
Would be nice if you list down: 1. Elementary mathematics for all subjects in good order: 1 year self study. 2. Intermediate mathematics for all subjects in good order: 1.5 years self study 3. Advanced mathematics for all subjects in good order: 2 year self study 4. Researcher level mathematics for all subjects in good order: 5 years
Algebraic number theory?? I recommend Ireland and Rosen's _A Classical Introduction to Modern Number Theory_ for an "advanced introduction". Then Marcus' _Number Fields_ for tons of exercises. Cox's _Primes of the form x^2 + ny^2_ is gorgeous. For serious p-adic number theory and class field theory, nothing beats Neukirch's _Algebraic Number Theory_ . I Also really like Andrew Sutherland's notes and problem sets from the MIT Number Theory I course on OCW (everything free and available for download!).
I don’t even know what university you are representing but I loved this and I’m buying most of these when I have enough money but just a few now. Finished gallians abstract algebra a year and a half ago and now haven’t used math for a year so I’m working on writing papers on different topics just for the sake of relearning and this is a great jumpstart
Kindly may you give us your recommended books for a Masters degree in statistics. Appreciate you for all your videos. I have taken your statistics class on Udemy and I appreciate your work and teaching so much. You are an excellent teacher.
We're using math methods by Boas for our math "boot camp" physics class. You should check it out: it re-introduces series, complex numbers, linear algebra...etc. Anything that a physics major would need. Its free online.
idk about yall but the only reason i regret buying munkress instead of this topology book is because the font is the cmu serif latex font and my book is written in times new roman
Well, actually every one should learn maths just like any other language, everyone has its own pace - it never meant that someone is dumb, but just needs more explanation. That's why I found you fast as light and slow as ant. ❤❤❤ Thankyou so much for being on earth, you are a blessed soul with special instinct, you bought Maths - back to my life. ❤❤❤
this guy is isaac newton, i wish i had a teacher like him growing up that actually liked math, i swear all of my math teachers in elementry and middle school either thought they where stand up comedians or they just came there for a pay check and didnt care about the subject.
You were my professor for differential equations a couple years back, I am now in my final semester for Electrical Engineering. With out a doubt you were by far my favorite and best professor iv had for my entire degree. Thank you
Hey! I'm an electrical engineering student as well, but this is my first semester. I'm tryna keep up with all the mathematics we've got to study and, yk... You went through the same thing. I just have a question: what would it be a piece of advise you'd give a random guy that's studying your same career?
I'd appreciate any answer, mate.
@@tomasvelandia6507 I'm also an EE senior and my best advice would be to join an engineering design project/club or research project as soon as possible so you can get some hands-on experience. This will set you up to get internships, make connections, and it will also help you determine if EE (or engineering in general) is really right for you
@@tomasvelandia6507 Been terrible at math my entire life, graduated with my BSEE last year. Use all the resources you can, write "notes" in your notes on what the relationships are and why you are doing the calculations. I'm going to assume you're in the calc series right now. The hardest part about calculus wasn't even the concepts, it was remembering all the algebraic rules which stopped me from focusing on the calculus. The homework problems 1-5 are always the concept questions! Do not take these lightly, they're simple but they really drive home the point of the entire chapter, the rest is just moving numbers around...it will always start off like an example you have seen in class and once you start thinking it gets hard, there is always some trick to either factor out a number or use some trigonometric substitution due to equivalence (VERY COMMON IN CALC 2 /3 ) then it simplifies back to an example problem. Best of luck
@@tomasvelandia6507I graduated with chemical engineering 4 years ago, I’d say get close with your junior/senior year professors, attend program events to network and teach yourself the section before they do it in class
@@tomasvelandia6507 work your ass off in your signals and systems class. Signals are used in a lot of (pretty much all) courses later in your degree
It's really nice to see a jacked dude teaching math. It always seems like all the geniuses I see out there don't exercise. Bravo Math Sorcerer!
Not gonna lie, I clicked because I saw a dude capable of overhead pressing 35 kg
Nothing wrong with my fellow stickmen, but I'm definitely around for some powerlifting lectures
Yeah because gaining big muscles is easy because all you have to do is the same basic repetitions over or an over and over learning. Math is something that is very difficult to do and may actually be genetically limited or innate @@SouthernFriedPapist
a true genius is a master of the mind and also the body.
It's either physical health or a nice hair cut. You don't get both.
@@lv1543just making shit up
0:00 [Intro]
3:07 Beginning & Intermediate Algebra
4:23 College Algebra
5:20 Trigonometry
6:43 Precalculus
9:32 Calculus
11:31 Proof Writing
13:51 Logic
15:06 Number Theory
16:24 Abstract Algebra
18:39 Probability
20:09 Graph Theory
21:16 Linear Algebra
22:50 Statistics
24:05 Complex Analysis
25:49 Numerical Analysis
26:41 Geometry
27:29 Real Analysis
28:54 Topology
30:30 Algebraic Topology
31:13 Differential Equations
32:11 Partial Differential Equations
32:56 Mathematical Statistics
34:19 Functional Analysis
35:17 Galois Theory
36:00 Fourier Series
36:54 Differential Geometry
38:06 Real Analysis (Graduate)
39:04 Stochastic Processes
40:12 Ring Theory
41:21 Functions of Several Complex Variables
42:30 Basic Mathematics
44:01 Miscellaneous
46:12 [Outro]
Thanks you so much, i was going to do the same comment
What a hero. I was really hoping somebody posted a list like this cause I'm only interested in a couple of subjects :D
Good afternoon, pls can you tell me which one(beginner friendly) will do for MST224 :Mathematical methods
For pnc, log sets relation f(x)?
I am missing algebraic geometry.
Look at those guns! 🧠 & 💪🏽 are essential!
I noticed those too😉
Math is essential for working out!
Brains and gains
@@marytredinnick3366Must be from carrying all those math books.
He's gonna cut his hair one day and grow a beard while eating math textbooks for breakfast! ❤😂🔥🫡 epic
First time i saw computer in 1989, my father told me “if you want be master of computer, you should be very good in mathematics”, and my journey start.
Never underestimate a man who has three or more books on abstract algebra.👍💪
I've 29 books, especially on abstract algebra.J Gallian is good enough,But my favourite one is T.W Hungerford.
@@knowledge_hunter2005 Doing PhD on Algebra or a book collector? I believe 2-3 generic picks suffices, most of the rest is reading papers.
@@kartikpandey8739probably a collector, but can you blame them?😤
Got any math books that are fiction?
@@bryanbryan2968Alice in Wonderland
Nice video!
I am reminded of back when I took differential equations. (This was long before the internet.) I forget the text that we used (it wasn't Boyce and DiPrima). Anyway, at one point the author casually mentioned the "well-known gamma function." Well, I did not know it. So I went to library to read up on the well-known gamma function. I must have ransacked a half-dozen books to find the well-known gamma function, but every single one of them did not discuss the well-known gamma function. Instead, without any explanation, each book referred to the well-known gamma function as "the well-known gamma function."
I think that was the start of my insanity.
16:20 i love how you can see a single line and it blows your mind
I discovered you due to your Spanish channel, as I'm from Spain. I really appreciate your effort, because I'm a student of the first year of the equivalent to bachelor degree with major in mathematics and minor in statistics and I'm struggling to study on my own on my home. I have discovered that books are a really enjoyable and efficient way of learning, thing I didn't even consider during secondary school. Thank you so much!!!
WUT He has a Spanish channel? Must check ASAP Because yo soy de Argentina y la verdad que estudiar matemáticas en ingles no es tan difícil pero me parece mejor idea hacerlo en español!
Same here man
@@dethskullcrusher How ya doin mate
He has a spanish channel! Would you please provide me with the link?
? Projective geometry? Abstract algebra? Numerical analysis? Special functions? Tensor and vector analysis? Lie groups and Lie algebras? Formal ordinary differential equations? Functional analysis? Calculus of variations? Stochastic processes?
For Gamelin & Greene, basic analysis is a must. Both authors have a background in complex analysis, so there is a heavy emphasis on metric spaces (1/4 of the book).
My friend vance passed calculus 1 thanks to your lectures! he appreciates you so much!🎉🎉🎉
I like "Mathematical Methods for Physicists" by Arfken and Weber. It covers a lot of ground and is good for physicists and engineers. Probably not very good as a first course in most subjects, but it doesn't skip on important proofs and concepts, and as a refresher, it is perfectly adequate.
This channel is fantastic. If you want to learn by yourself you can. All is shown by the Math Sorcerer. You men and women leave TikTok and learn smart thing. Today you can learn everything with the net.
I struggled with mathematics in high school but I think mainly because I couldn't get my questions answered. Might be a good idea to pick up some of these books. Much thanks for the knowledge.
Since people look at the comments a lot, I guess I'll share two books that I recommend: Introduction to Smooth Manifolds by John M. Lee and An Introduction to Differentiable Manifolds and Riemannian Geometry by Boothby.
I recommend both of these simply because they're *actually good introductory differential geometry books,* which are surprisingly uncommon (Math Sorcerer also talked about one in the video). John M. Lee wrote three books about manifolds, and the first one is a book on Topological Manifolds (which works great as a prerequisite to either of these books, I think)
:3
I think it's great when mathematicians have good muscles, good job man. I think professors hate that, because they refuse to lift weights.
That’s the same calculus book we used for my engineering calculus course during undergrad! I actually thought it was a solid book
nice!!!
@@TheMathSorcererSir, where can I send you email?
Another great book: An Invitation to Algebraic Geometry by Smith. Algebraic Geometry has a reputation for being very abstract but this book is really accessible to upper level undergraduate students in case anyone was looking for something like that
Wow. Thank you!!! I will recommend these books to my children.
37:57 What do you mean? Differential Geometry was mandatory in my undergrads degree.
It was a little tedious at first but then I understood why things were the way they were and I loved it!
I like to imagine math sorcerer llifting all his books for workout and reading some of them at the same time. Absolute chad
The sorcerer's magnum opus !
A magical math book for every math subject ...
Sincere thanks !
The ramanujam book seems to be the one book to rule them all and the one book to bind them ... though it simply just doesn't seem that way (except to someone like ramanujam, perhaps) !
I like your recommendations (and used some of them in undergraduate/graduate study in mathematics). Two books I would add are "Numerical Linear Algebra" by Trefethen and "Partial Differential Equations" by Lawrence Evans. I studied numerical analysis (and completed my dissertation in numerical partial differential equations). For younger students - this is an excellent area to study (alongside material in machine learning).
Finally !!! Another video about math books !! ❤
Yessss, Kreyszig is so good for functional analysis! There's another edition out there with a brown cover that's ~700 pages, which contains more exercises, too. I'd also shoutout Bartle & Sherbert as another great undergrad Real Analysis text, and Royden & Fitzpatrick on the graduate side.
Loving these new videos! Keep it coming, thanks for the good content! 🇮🇹
I took trig in the 1st semester of 11th grade in 1985. Our book was skinny and focused only on trig. I finally figured out why identities killed me, decades later. Teacher didn't cut it, she didn't teach us to phase the sine to get cosine, to divide to get tangent/cotangent, nor to invert to get cosecant/secant. The intuition of the graphs...
Math Sorcerer 💯🧠💪
There is valuable content in this video. I had never heard somebody talking with so enthusiasm about math books. Here there is an undergraduated in physics paying attention.
Unrelated to the video, but i'll say it anyway: Watching your older videos vs. watching new ones has really inspired me to go to the gym aswell. I've been going for 2 weeks now and it feels really good. You look awesome by the way, seriously. Keep up the grind my friend, I respect you.
Great video as always.
I'm a grad student in Data Sciene and I always feel like I can never get enough math knowledge(don't have a math bachelors) so thankyou for this so much.
Mathbro flexing the developed delts in thumbnail. Haven’t seen the video yet but keep up the gains mathbro
I actually happened to just recently get Pedoe's Geometry. It's definitely a lot higher level than I had anticipated lol.
And what you were saying about Complex Analysis has me excited to take it (hopefully next semester). Sounds like a cool course!
That author has an unfortunate name
@@mehmetofantalia 😂😂
Great recommendations. Some of these helped me a lot.
In addition, I'd probably recommend Strang's 'Linear Algebra' for his lucid explanations. For analysis, IMO the best intro was Bryant's 'Yet Another Introduction to Analysis' (it's written at a level that most high school students can understand it).
Both excellent books!!!!!!
My was an engineer, old school with a sliderule and drafting table in his office at home, so I grew up with mathematics and I have read a few of these books and also have several Dover books as well
I'm not interested in math but I'm just glad this guy popped up on my feed. He clearly just wants to share knowlege.
Lol I never knew you were a muscle wizard in addition to being a math sorcerer. Used to watch your videos all the time when I was in uni, I guess I gotta start watching your videos again when I start going to the gym
Re: Graph theory; for us it was part of the Discrete mathematics course (as you mentioned), which started with combinatorics and difference equations in the first half of the year and then moved onto graph theory for the latter half (second year). I'd love to get back into that fascinating subject. Thanks for the book recommendation, it's a paperback, but VERY reasonable price.
THE book on graph theory is Richard Diestel. It’s not a debate.
Brother, the best book for beginners in group theory ...... P. S. ALEXANDROFF an Introduction to the THEORY of GROUPS
Perfect timing, I was about to email you last night about this very topic! Also sick gains on the arms!
I had to take number theory and graph theory in my undergraduate, but I was also in an Applied Math program. I noticed that you didn't mention anything on mathematical modeling nor dynamical systems. Strogatz is of course the one to go to for the latter. I have a great little Dover book I'd recommend to introduce modelling: An Introduction to Mathematical Modeling - Edward A. Bender.
In my graduate studies, I took a course on special functions. I have since lost the book I used and don't remember anything other than 'it had a red cover'!
I once had this math professor who was super jacked that you remind me of
Jfc dude, you look like me with my networking book pile.
I like you for that, and I have not watched a single video of yours.
You and your biceps have earned a subscriber.
“With effort, great things can be accomplished.” I love that. 💪
When I took Number Theory, my alma mater required Complex Analysis (which required Intro to Real Analysis) and Abstract Algebra. We had a new faculty member teaching my course. So, he just goes hard into it the first lecture. After some students were asking a bunch of questions. He surveyed the class and found out most of the students only either have taken Intro to Real Analysis or Abstract Algebra before the class and we’re currently taking the other. Only two of the students had taken all three prerequisites. He drastically changed his approach after that. He was an interesting character. I had to get an A in that class to graduate with a high enough math GPA to get departmental honors, which I did. I remember that semester very well despite being 23 years ago. So, much was going on.
This is a great resource, and I think it is cool that you included the book that Ramanujan taught himself math with! Thanks for sharing all of this! I would like to point out the obvious. Most mortals are not Ramanujan. He was extraordinary! 😉
How cool! Keep the videos coming I look forward to them every day and they give me tons of motivation and help me to develop a plan in my self studies!
I’m working my way through the first book you reviewed and I was able to snag the 9 DVD set of instructional videos that accompanies it.
Finally a math instructor who is physically muscular and intellectual at the same time in real life. Not the media Hollywood caricature of nerdy tutors, students and instructors who are lanky and physically weak and introverted! Hollywood and the entertainment media missed their stereotypical mark once more. Thank you for showing us the mathematics material on here and thank you for your channel
I love you including the "lower level" mathematics books bc people have to start somewhere but also i am going to teach my kids math at some point (when they exist) and ive been so far removed from that part of mathematics that having strong resources collected like this rules
I always thought the Schuams Guides were an organized attempt to cover the landscape of maths in a series of books
What about the Princeton Companion to Mathemetics ?
I have purchased several illustrated guides to various fields of maths - helps conceptual grokking
I'm shocked at how no kind of advanced number theory seems to be part of standard curriculum in a lot of places... I've had an analytic number theory, as well as an algebraic number theory class after taking abstract algebra and I can definitely say that algebraic number theory is one of the most beautiful applications of ring theory out there and generally just very enlightening.
just bought the Basic Mathematics by Serge Lang. Hope going through this with my daughter will rekindle her love for math. She is bored with the lessons from school and I want to keep her moving along and I want to get back into math too. so hope this will be good for both of us. thanks for the recommendation.
I already took all of these classes before I went to medical school. But, I subscribed because you are HUGE! Damn. I gotta get back to the gym.
I love sitting here at work yelling “Kenneth Ross!!” quietly as you show the Real Analysis book, currently using the 2nd edition in my Advanced Calc courses, very funny to me. You can find PDFs online if money is an issue for purchasing a physical copy.
Hi, You should write a book compiling all the ones you've presented.
My professor used Freund's Mathematical Statistics for a one year course in Probability and Statistics. He covered the whole book.
Lifting books builds up brains and muscle :D
bro is telling us to do math and flexing both at the same time, perfect way to get an people into math honestly
I found this channel after passing my class 10th board's maths with a scary line, yeah I passed only with one extra number if the teacher had taken my one number only I would have wasted my 1 year and left my school, this is my 11th, so I decided right now that with your help I'm gonna improve my maths and be maths genius, not for marks, just for being a great scientist.
Very, very, very helpful video. It was very interesting to look at the books you recommend. Now I wish I had them all in my library.
I hope this stays up forever so I can keep coming back to this list. This is so cool for someone rediscovering mathematics.
Thanks for the road map!
I did not do well with paying attention in class and maintaing the mental energy to keep up with math from 7th grade onward. I cheated my way through high-school to get by and after coming across this video I'm considering starting over at the beginning/intermediate algebra book. It sounds fun to do without a rigorous schedule and curriculum.
Great list of books! will definitely be getting these for myself! Thank you Prof!
It would be great a list of books for Deep Learning
I'm trying to go through How To Prove It atm, and the difficulty and abstraction REALLY ramp up like crazy in section 4.3. It's actually insane. Some problems I can't even understand what they mean/what they're asking. Others I can but they're extremely convoluted and intricate.
I need to bookmark this video, it such a great overview of maths books!
This is exactly what I needed , thank you master 😊
I would like to suggest a book, and honestly I would LOVE to hear the Sorcerer's (hah, just found you on youtube and I love the name, lol) opinion on this particular book... I had this as part of my home "library" year ago, but had to sell all my books at one point due to financial difficulties :x. (sucked because they were my prized posessions - all maths, computer science, physics, logic, etc.) Anyway, I decided to start buying books agian a few years later and this was one of the first ones I got. It helped me at one point when I needed a quick brush-up on algebra and geometry, and I was stunned at how quickly that book got me back up to speed. It's so good , in facct, that I think it could be used by folks who have little to no algebra/geometry/trig going into the book.
The book is called "Precalculus Mathematics in a Nutshell" by George Simmons (I just realized the first printing was from 1925! hah). ANyway, I was going to describe and link the book, but when I googled the name this video popped up... The beginning is of the book (the newest? one, which is the one I have) and a guy going over the book and showing it's contents. The latter half of the video is him talking about his own course. I'm not sure what all that is about, but I'm just linking the video for the first part where he takes a look at this book. It really is amazing for such a tiny book (under 150 pages for all 3 subjects!)
th-cam.com/video/GF4uPKheG14/w-d-xo.html
A dumbell wizard by the look on that bicep as well.
Thank you, buffed Kirk Hammett!
Sir,I am form India your book colection is
Very nice book colection for maths
Dover books on math are real treasures. Affordable, usually easy to read, and comprehensive.
Yes I love Dover books!
I used to go up t9 Barnea amd Novles and read the Dover math books when I was younger.
Personally I'm a creative type, I create something in my head then set out to acquire specific subjects and skills to prove oe disprove it, I used have mindset of a good mathematician is one who learns all math regardless of interest, I soon came to realise that is not the case, a good mathematician has a mission mindset
I wonder why the books cost so much? It's extremely easy for us to make simple things like books, and reprint now days. Why do we charge a fortunate for knowledge when we're wanting everyone to catch up?
Same can be said with college or other courses that may cost money. It's weird to me we're putting students in to debts rather than sending them with clean slates to work with.
It's easy to solve the problem of clearing a debt.. just pay it off. Job = $, bank = savings, I = interest, and when investing E = Equity. You could own some equity, and sell off equity, and while having your money saved in investments those investments can build interest.
So, I doubt they wanted us to have debts to learn how to pay them off. (The answer sounds like greed), but there is likely more to this hopefully.
I only clicked cause I saw them arms. My man is working out every MUSCLE, MIND AND BODY
Professor Sorcerer, thank you for an outstanding video/lecture on One Math Book for every Math Subject.
@24:01 Nice Statistics book with problems written in English! I learned calculus by myself with the Larson math book. I couldn't do Statistics because the problems in the book used greek letters, I think it was a Larson book too, I had an issue trying to figure out which letters were variables and which letter were symbols. I got frustrated and stopped
like, for k-12,,, reading the book together is the way to go teachers.... powerpoint and note taking is for college
He got the muscles from lifting math books. I thought of this channel trying to read a book about mobius strips.
You are, without a doubt, engaged in your true passion. But could you do it without the tank-tops? A bit too much the "mad scientist" look for me. Keep up the good work! :)
good to see the man who saved my life in math in good shape
Im glad this video showed up. I really want to learn math and I have a mental block with learning math maybe
People who can go through the math textbook examples and learn with it are different species
Would be nice if you list down:
1. Elementary mathematics for all subjects in good order: 1 year self study.
2. Intermediate mathematics for all subjects in good order: 1.5 years self study
3. Advanced mathematics for all subjects in good order: 2 year self study
4. Researcher level mathematics for all subjects in good order: 5 years
Would love a follow-up video! Any book on set theory or that covers stuff like Dedekind cuts?
What drives you to offer free content for the world?
We are indebted.
If there was a character design for a comic book mathematics superhero, you would be THE inspiration 💪
The geometry book isn't Regular Polytopes by H. S. M. Coxeter? It's the geometry bible!
Algebraic number theory?? I recommend Ireland and Rosen's _A Classical Introduction to Modern Number Theory_ for an "advanced introduction". Then Marcus' _Number Fields_ for tons of exercises. Cox's _Primes of the form x^2 + ny^2_ is gorgeous. For serious p-adic number theory and class field theory, nothing beats Neukirch's _Algebraic Number Theory_ . I Also really like Andrew Sutherland's notes and problem sets from the MIT Number Theory I course on OCW (everything free and available for download!).
I don’t even know what university you are representing but I loved this and I’m buying most of these when I have enough money but just a few now. Finished gallians abstract algebra a year and a half ago and now haven’t used math for a year so I’m working on writing papers on different topics just for the sake of relearning and this is a great jumpstart
Kindly may you give us your recommended books for a Masters degree in statistics. Appreciate you for all your videos. I have taken your statistics class on Udemy and I appreciate your work and teaching so much. You are an excellent teacher.
We're using math methods by Boas for our math "boot camp" physics class. You should check it out: it re-introduces series, complex numbers, linear algebra...etc. Anything that a physics major would need. Its free online.
idk about yall but the only reason i regret buying munkress instead of this topology book is because the font is the cmu serif latex font and my book is written in times new roman
I guess I finally see some basis for base chemistry. What kinds of geometries? I can’t pick just one book for that!
Very cool video! Anything on category theory?
Well, actually every one should learn maths just like any other language, everyone has its own pace - it never meant that someone is dumb, but just needs more explanation. That's why I found you fast as light and slow as ant.
❤❤❤ Thankyou so much for being on earth, you are a blessed soul with special instinct, you bought Maths - back to my life. ❤❤❤
this guy is isaac newton, i wish i had a teacher like him growing up that actually liked math, i swear all of my math teachers in elementry and middle school either thought they where stand up comedians or they just came there for a pay check and didnt care about the subject.
I love these longer videos!