Algebra:

Algebra by I. Gelfand

Functions and graphs by I. Gelfand

The method of coordinates by I. Gelfand

Geometry:

Geometry: A High School Course by Serge Lang

Kiselev’s Geometry / Book I. Planimetry by A. P. Kiselev & Alexander Givental

Kiselev’s Geometry / Book II. Stereometry by A. P. Kiselev & Alexander Givental

Introduction to Geometry by H. S. M. Coxeter

Geometry Revisted by H.S.M. Coexter

Trigonometry:

Trigonometry by I.M. Gelfand

Pre-calculus:

Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry by George F. Simmons

Calculus:

A First Course in Calculus by Serge Lang

Calculus and Analytic Geometry” by George Simmons

The Calculus Lifesaver: All the Tools You Need to Excel at Calculus by Adrian Banner

Calculus Made Easy by Silvanus P. Thompson

Calculus, Vol. 1 by Tom M. Apostol

Calculus by Michael Spivak

Calculus, Vol. 2 by Tom M. Apostol

Calculus On Manifolds by Michael Spivak

Problem Solving Books in Mathematic:

How to Think Like a Mathematician by Dr Kevin Houston

How to Prove It: A Structured Approach by Daniel J. Velleman

Problem-Solving Through Problems by Loren C Larson

How to Solve it by Polya

An Introduction to Mathematical Reasoning by Peter J Eccels

The Art and Craft of Problem Solving by Paul Zeitz

Problem-Solving Strategies (Problem Books in Mathematics) by Arthur Engel

Mathematical and Logic Puzzles:

The Lady or the Tiger?: and Other Logic Puzzles by Raymond M. Smullyan (age: 8 and up)

Entertaining Mathematical Puzzles by Martin Gardner (age: 10 and up)

My Best Mathematical and Logic Puzzles by Martin Gardner (age: 9 and 12)

Perplexing Puzzles and Tantalizing Teasers by Martin Gardner (age: 12 and up)

Alice in Puzzle-Land: A Carrollian Tale for Children Under Eighty by Raymond M. Smullyan (age: 80 and under)

Challenging Problems in Algebra by Alfred S. Posamentier (high school level)

Challenging Problems in Geometry by Alfred S. Posamentier (high school level)

Mathematical Puzzling by A. Gardiner (high school level)

Mathematical Puzzles: A Connoisseur’s Collection by Peter Winkler (high school, college, graduate level)

The Stanford Mathematics Problem Book: With Hints and Solutions by G. Polya (High school level)

Professor Povey’s Perplexing Problems: Pre-university Physics and Maths Puzzles with Solutions by Thomas Povey (College level)

Other masterpieces:

Alice in Wonderland by Lewis Carroll

Alice through the Looking Glass by Lewis Carroll

Alice Through the Needle’s Eye by Gilbert Adair

The Number Devil: A Mathematical Adventure by Hans Magnus Enzensberger (age: 10 and up)

Flatland by Edwin Abbott

A Mathematician’s Apology by G.H.Hardy

LockhartsLament by Paul Lockhart

The power of mathematics by Conway

Proofs from THE BOOK by Martin Aigner and Gunter Ziegler

Gödel, Escher and Bach: An Eternal Golden Braid by Douglas Hofstadter

Resources:

http://www.artofproblemsolving.com/store

http://math-blog.com/mathematics-books/

https://www.ocf.berkeley.edu/~abhishek/chicmath.htm

http://www.springer.com/series/3423

http://www.springer.com/series/136

http://www.springer.com/series/714

http://store.doverpublications.com/by-subject-mathematics.html