Mathematic Readings

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

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Mathematic Readings

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