Math books

Books by subject

Combinatorics

• AoPS publishes Dr. David Patrick's Introduction to Counting & Probability textbook, which is recommended for advanced middle and high school students.

Geometry

• AoPS publishes Richard Rusczyk's Introduction to Geometry textbook, which is recommended for advanced middle and high school students.

Probability

• AoPS publishes Dr. David Patrick's Introduction to Counting & Probability textbook, which is recommended for advanced middle and high school students.

Problem Solving

Getting Started

• the Art of Problem Solving Volume 1 by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 7-9.

Intermediate

• the Art of Problem Solving Volume 2 by Sandor Lehoczky and Richard Rusczyk is recommended for avid math students in grades 9-12.
• The Art and Craft of Problem Solving by Paul Zeitz, former coach of the U.S. math team.

Math contest problem books

Elementary School

• Mathematical Olympiads for Elementary and Middle Schools (MOEMS) publishes two excellent contest problem books.

Getting Started

• MathCounts books -- Practice problems at all levels from the MathCounts competition.
• Contest Problem Books from the AMC.
• More Mathematical Challenges by Tony Gardiner. Over 150 problems from the UK Junior Mathematical Olympiad, for students ages 11-15.

Intermediate

• The Mandelbrot competition has two problem books for sale at AoPS.

Olympiad

• USAMO 1972-1986 -- Problems from the United States of America Mathematical Olympiad.

Collegiate

• Three Putnam competition books are available at AoPS.

See also

• Resources for mathematics competitions