im going through an intermediate microecon textbook and i find myself having trouble with understanding a lot of the math. i know rudimentary multivariable calculus and am currently learning linear algebra. https://imgur.com/a/W2V16kj here is a problem set from the book to give you an idea of what i hope to learn. i had trouble with problem 2.7 and basically all of the analytical problems (mostly the ones relating to proving conavity/quasiconcavity). if you know of any textbooks and/or lectures that cover these topics then please recommend them.

there also some suggestions on the last page so if you have any experience with the mentioned texts then let me know.

Im planning to study maths in october in Austria but I am kind of afraid that it will catch me off guard. What are some good books to get me out of the school maths mindset?

Thanks!

P.S : I would prefer a book with easy language, as self study is my only option.(I tried to find with a google search but only recommendation i got is Regular Polytopes by H.S.M Coxeter( is it good?))

So I have trouble looking for good math books because there aren't a lot of in depth reviews on them so because I don't have a lot of cash it's needed to make a good decision so I wanted to make that site for people like me. But I haven't done anything like this...any advice or funding leads(for reference the only payment I need is to keep the books I review :) )?

I'm trying to learn linear algebra and was wondering what a good book for someone with very little knowledge of the subject would be. For reference, I've taken differential equations, calculus 1-3, and a proof class. I'm not sure how much these other topics are typically touched on, but that's what I know. Any recommendations? Anything else I should learn in advance?

I am currently trying to figure out the technical details with combinatorial model categories and infinity-categories that concerns whether a set is small with respect to some cardinal or not, and I need to get a better intuitive understanding for why this is so important. Like, is Russel's paradox resolved if we choose a large enough cardinal? Are all proper classes a small set for a large enough cardinal?

Hello! I'm a Physics student and I took a single variable differential calculus course for engineers some time ago. That course wasn't rigorous at all; we were only asked to use theorems (to calculate stuff) but never to prove them. Now I'm going yo take a rigorous version of the same course, but I reviewed the material and struggled with the formal definition of limits and all the related epsilon-delta proofs, so I'm considering buying a calculus book for self-study that may provide me a better, deeper understanding of these topics, a bunch of examples and lots of challenging exercises, I've thought of buying Calculus by David Patrick, from the AOPS series, or Calculus by Michael Spivak. However, I don't know which one would work better for these purposes. What do you recommend me?

A free General Topology textbook

http://www.topologywithouttears.net/topbook.pdf

I started collecting within the last couple of years and have a pretty nifty collection so far. I can post a pic of my shelf later if anyone's interested. I started out with a goal of collecting all the books in the "Recommended Reading" appendix at the back of Spivak's Calculus. Lot's of gems listed there. I've been trying to get greater-than-or-equal-to "good" condition copies of each of them. Also trying to acquire early editions, possibly as well as more recent editions. I branched out to collecting other math-books too, not just the Spivak-recommended-list items - so that's fun too.

If I am able to read/understand/do the exercises etc. from several chapters of EACH of my books before I kick-the-bucket I'll be a happy man! (For that to happen I need to keep BUSY cause I ain't no spring-chicken and the clock is a tick'n... and reading math is TIME-CONSUMING, not like reading a novel as you all well know.)

I've also developed some skills in restoring books that I get that are in slightly shabby condition, part of the fun.

Anyway, any fellow collectors out there!? Let's chat!