5.5 Math Books For Self Made Mathematicians

In this video I will give you 5.5 books, in order from the most basic to the most advanced, for people who want to learn mathematics on their own. I hope this helps.
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Thank you:)

[peterbenoit]

I have Stewart (5E), Spivak, and Buck. All excellent books...part of my collection of several hundred mathematics books. Rushing toward age 70, but doing mathematics daily and teaching it to others is still part of my life.

[Mathematica]

I have 3 of these books, and others very similar. Been self-studying for a while, but I often skim through these books and I’m astonished at just how much mathematics is contained in them. It’s like a whole universe! I’ve been leisurely going through the Stewart book, and even the voluminous content of that one is mind boggling. I have many math books that I’m still not quite ready to open, but surely inching my way towards them. I can’t imagine gazing upon your vast library. Truly amazing!

[waltertoki]

I used Kreyszig in my math-physics course when I was a junior at UC Berkeley in 1972. It was a good book and was very readable and helpful to understand other textbooks such as Mathematical Physics by E. Butkov. It is very helpful to have several different textbooks to get a slightly different explanation of new math and physics topics.

[rodneycummings]

The James Stewart book is so well written that I actually used it as a reference book for Advanced Calculus. A lot of the proofs that I did in Advanced Calculus such as the Mean Value Theorem and Rolle's Theorem is in the Stewart book. The calculus proofs that are in the Stewart book are written with much more detail and nice diagrams to show the reader what is being proved.

[dumbfrog]

Title: Self-teaching for an Undergraduate Degree in Math.

[guidichris]

My collection of math books is quadrupled since watching your channel. Don’t forget there is a companion answer guide for Spivak.

[CodyBunker]

These are great. I am a self learner and started self studying math a few years back. I had been out of school for a long time so I went back over basic algebra and started learning for mastery from there. I have know learned Calc 1, 2 and 3 and am now trying to learn linear algebra. One thing that really helps for all the problems that don't have answers in the back is AI. It will help you break down problems and make sure you do the work right. Plus you can ask questions about the problems you are solving and it helps you get deeper insights.

[veilofmayaa]

Spivak calculus was by far the hardest, Stewart calculus was an absolute joy. Spivak, like you mentioned the proofs was definitely not the easiest.

[bandman]

Just bought advanced engineering mathematics 7th edition from a thrift store. $3 dollars plus 20% off for instructor discount.

[barrilha]

I love these videos! These are some powerful books. Spivak is my favorite one.

[worldboy]

Loove your work, it's the best!
I'm surprised you focus so much on answered problems. Personally I found it an apt advancement when entering higher math (as a self-student) NOT to have the answers. I feel it makes solving the exercise feel like actually doing math, instead of doing a quiz or a test (which doesn't, I feel personally, feel like doing math that much).
Keep it up if you please, you are inspiring me to open a math bookshop in Berlin as soon as possible (and of course to do math as a self-student, which feels, from the inside, like THE ONLY way to do math :D )
Dave, CPH DK

[sarsoura]

Love your energy so much! I only have Stewart from Calculus I & II, which I took in college, but I have been thinking of studying mathematics at university, and this has inspired me to look into self-studying more seriously in the meantime. Thank you so much for the recommendations! ❤

[PK-ight]

One Kreysig book use for four years in collage. All you need to know about Enginerring mathmatic in one book.

[Mathlover]

Stewart calculus: well, it is really enjoyable
A transition to advanced mathematics: I might use brain more and get used to all the proofs
Spivak Calculus: I gonna change my major to Engineering

[corbinwilson]

I did my calculus sequence using Cochran Briggs and Lyle, I thought it was pretty decent honestly. I’m also not a huge math connoisseur, so just know my take is based on personal experience as well as how good my teacher was.

[dean]

Must try : BS Grewal’s higher engineering mathematics * a lil advanced but worth your next video!

Actually, Erwin Kreyzig’s text has a lot of steps in between cut out rather presumed that the reader would understand how he arrived at the results somehow. The vector calculus section could’ve been better although it sheds light on “curvature” and “torsion” unlike other books. Many of the solutions by Indian authors are also written in terms of Γ(n) and β(x, y) functions as and when required(B.S. Grewal does just that). Some phrases like “speed of a curve” are rarely used / found any much

[sarahadkins]

What about self learning engineering math? I would have appreciated teachers showing us how this math correlates to the real world applications. I love how you walk through these books and have detailed explanations on who can use them right away and what you need to know before diving in.

[stalemate]

Thank you, Sorcerer, for your esteemed recommendations.

[kfkaesqu]

A bit off topic for this video but I think you'll really enjoy the book Gödel's proof if you haven't read it.

[supercajun]

3Q (<-- that's a Mandarin language puzzle for you, BTW) for introducing "Everyday Calculus" to me. I plan to read it.