One Math Book For Every Math Subject

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Abstract Algebra Course

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Calculus 1 Lectures with Assignments and a Final Exam

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Differential Equations Lectures Course (Includes Assignments + Final Exam)

Thank you:)

[briggsgreen]

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

[Point_n_Shoot]

Look at those guns! 🧠 & 💪🏽 are essential!

[Chickon]

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]

[samaabe]

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!

[beancount]

Never underestimate a man who has three or more books on abstract algebra.👍💪

[jrt]

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!!!

[Nylspider]

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

[OrdenJust]

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.

[okoyoso]

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).

[ultrametric]

? 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?

[scapegoatoftheuniverse]

16:20 i love how you can see a single line and it blows your mind

[InXLsisDeo]

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.

[suic]

"My most advanced math books" video would be also great :)

[johnnystace]

My friend vance passed calculus 1 thanks to your lectures! he appreciates you so much!🎉🎉🎉

[stevensims]

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.

[jakob]

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.

[Taylor-rxyb]

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

[notcreative]

Loving these new videos! Keep it coming, thanks for the good content! 🇮🇹

[Scuba_Bro]

That’s the same calculus book we used for my engineering calculus course during undergrad! I actually thought it was a solid book

[BishopIsJustHappyToBeHere]

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!