[throwawaymath]

It's a nice book, but I wouldn't use it for study or as a textbook. And solutions are not provided as far as I can tell. I'm afraid you're going to have a difficult time finding books which contain solutions to their problems.

[thrwthrw93223]

Thanks. I won’t bother buying it then. Do you have any recommendations on good math books to work through on my own that have solutions floating online, so I can check my work? I’m looking for a theoretical math book to work through. Primarily looking for intro to proofs or algebra related books. But anything will do. I just want something proof-y aimed at beginners.

[earthicus]

Polya & Velleman are classics. They're about problem solving & proof writing techniques, but won't teach you any abstract math. I've only ever heard good things but i've actually never read them myself! Some other suggestions:

Niven - The Theory of Numbers. Contains hints for some of the proof based exercises, and answers for many of the computational exercises. I used it for my undergrad course, I remember it being reasonably beginner friendly.

Pressley - Elementary Differential Geometry. Has terse answers to every exercise! The subject is a nice mixture of concrete and abstract, calculation and proofs, and there's some interesting work using differential geometry in CS via computational geometry. Also i think it's used in robotics and a few other things? This book is very beginner friendly, it will get you about 1/2 way to General Relativity.

[thrwthrw93223]

The differential geometry book sounds awesome. Thanks!

[earthicus]

I should probably point out the prerequisites. You need to know basic multivariable calculus, and basic matrix algebra.

[HuShifang]

I think Velleman's "How To Prove It" might be useful.

[thrwthrw93223]

This looks great. Thanks.

[bkjano]

LibGen appears to have instructor's manuals for several common non-honors texts, including Fraleigh and Gallian (abstract algebra), Rosen (number theory), and Bartle/Sherbert (analysis).