I am putting a list of math books here (the list is from The Art and Craft of Problem Solving by Paul Zeitz) in hopes that I will be more motivated to read them.
Books about Algebra:
- Polynomials by E.J. Barbeau
- The Cauchy-Schwartz Master Class : An Introduction to the Art of Mathematical Inequalities by J. Michael Steele
Books about Combinatorics:
- An Introduction to Combinatorics by Alan Slomson
- Discrete Mathematics with Graph Theory by Edgar G. Goodaire and Michael M. Parmenter
- Concrete Mathematics by Ronald L. Graham, Donald E. Knuth, and Oren Patashnik
- generatingfunctionology by Herbert S. Wilf
- Proofs that Really Count: The Art of Combinatorial Proof by Arthur T. Benjamin and Jennifer Quinn
Books about Number Theory:
- Elementary Number Theory by Charles Vanden Eynden
- An Introduction to the Theory of Numbers by Ivan Niven, Herbert S. Zuckerman, and Hugh L. Montgomery
- A Classical Introduction to Modern Number Theory by Kenneth F. Ireland and Michael Rosen
Books about Geometry:
- Geometry Revisited by H. S. M. Cozeter and S. L. Greitzer
- A Survey of Geometry by Howard Eves
- Visual Complex Analysis by Tristan Needham
Books about Calculus:
- A Primer of Real Functions by Ralph Boas
- Calculus by Michael Spivak
- Calculus by Tom M. Apostol
I think I am going to start with Visual Complex Analysis because I love my imaginary friends and Needham was a student of Roger Penrose (one of my favorite mathematicians/physicists) back in the day. After that I will probably work my way down the Combinatorics section.
