I enjoy pure mathematics as a hobby. I read lots of mathematics books and try to solve as many problems as I can. Below are some of the solutions sets I've put together. I can't vouch for the accuracy of the solutions, and I've skipped some problems that I either found too trivial or too difficult.
Please comment below if you find any mistakes or more elegant solutions. I'm always eager to learn!
Set Theory, Logic, Number Theory, and Other Discrete Math
Daniel Cunningham, Set Theory: A First Course (solutions)
Gary Chartrand, Ping Zhang, A First Course in Graph Theory (solutions)
George Andrews, Number Theory (1994 Dover Ed.) (solutions) (first six chapters only)
Algebra
Keith Nicholson, Introduction to Abstract Algebra (4th Ed.)
Analysis
Erwin Kreyszig, Introductory Functional Analysis with Applications (1st Ed.)
Ravi Agarwal, Kanishka Perera, Sandra Pinelas , An Introduction to Complex Analysis (2011 Ed.) (solutions)
Victor Guillemin, Peter Haine, Differential Forms (Chapter 1 solutions)
Michael Spivak, Calculus on Manifolds (solutions, chapters one through four)
Topology
James Munkres, Topology (2nd Edition)
NB: Sorry, I think I lost the solutions to chapters three and four.... Note that you'll find some excellent solutions here. The author of that site is very helpful in responding to questions.
Bert Mendelson, Introduction to Topology (3rd Ed.) (solutions)
I'm going through the following books and assembling solutions.
George E. Andrews, Number Theory (1994 Dover Ed.)
Michael Spivak, Calculus on Manifolds (5th Ed.)