5.5 Math Books For Self Made Mathematicians

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.

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

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!

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

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

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! ❤

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.

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

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

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

Thank you, Sorcerer, for your esteemed recommendations.

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.

I am good at math from my childhood. Till 2 year before, I was busy with my computer science subjects and I had enough knowledge in math, I was satisfied but after corona I got some time since I had left my private work for time being, I have again started to work on math. What happened this time, i feel there is lot of problem in mathematics and somewhere it confused me. So, there is a need to develop your own book in your way instead to run away towards books and teacher. In mathematics, after understanding of scientific math, I don't think there is a need of book. There is a need to improve your strength in my mind. This is just my views for math what I have shared. Anyway, I am confident that I will remove my confusion since I have to work on it for life time now. Thanks.

did they change anything in the 2nd edition and onwards? - the book of proofs. 1st edition is hard to find here.

I have every single one of those books...great collection!

I discovered Precalculus mathematics for calculus on your channel when shopping for a precalculus book. It cost only $14, and it arrived in perfect condition.

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

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.

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

Did you struggle to learn how to translate to and from the propositional forms of first order logic? I've worked with this for years, and I still get stuck. Recommendations?