What's a good, basic introduction to differential equations?
Textbook general, I guess.
I've been recommended these books to learn math:
The Mental Calculator's Handbook
Algebra by Gelfand and Shen
Elementary Geometry from an Advanced Standpoint
Anything you would add or take away?
Different person. I took a class which dealt in algebraic topology and while I think I got the gist of the basics (at least according to Munkres), I performed horribly on the tests.
It seems absolutely fascinating and worth getting into, I just don't think I have the time.
Anyway I recommend Munkres "Topology" as a good book to read in general.
Schaum books are usually a good start eg http://www.amazon.com/Schaums-Outline-Differential-Equations-Outlines/dp/0071824855/ref=sr_1_1?ie=UTF8&qid=1452166884&sr=8-1&keywords=schaum+differential+equations
Good book to learn about Hilbert Spaces for quantum mechanics?
Most of the books I have looked at are totally over the top ie vastly too much scope and rigor for someone who just wants enough for the physics. Eg I could not give a shit about Lebesque integrals beyond that they are a bit more general than Riemann Integrals. And I am not interested in topology.
Methods of Modern Mathematical Physics I-IV by Reed and Simon
>I could not give a shit about Lebesque integrals beyond that they are a bit more general than Riemann Integrals. And I am not interested in topology.
You need that stuff for physics.
>You need that stuff for physics.
You are probably right, eventually I will need it. But I am putting off the evil day for now.