Math textbooks

This Math textbooks page is for compiling a list of textbooks for mathematics -- not problem books, contest books, or general interest books. See math books for more titles.

Before adding any books to this page, please review the AoPSWiki:Linking books page.


Math textbooks by subject

Levels of reading and math ability are loosely defined as follows:

  • Elementary is for elementary school students up through possibly early middle school.
  • Getting Started is recommended for students grades 6 to 9.
  • Intermediate is recommended for students grades 9 to 12.
  • Collegiate is recommended for college and university students.

General Introduction / Multiple Topics

Getting Started

  • Getting Started with Competition Math, a textbook meant for true beginners (on-target middle school students, or advanced elementary school students). It is written by AoPS Community Member cargeek9, currently a junior in high school. It covers the basics of algebra, geometry, combinatorics, and number theory, along with sets of accompanying practice problems at the end of every section.

Algebra

Getting Started

Intermediate

Calculus

High School

Collegiate


Combinatorics

Getting Started

Intermediate

Collegiate


Geometry

Getting Started

Intermediate

Collegiate


Number Theory

Getting Started

Collegiate

Analytic Number Theory
Elliptic Curves


Probability

Getting Started

Intermediate

Collegiate

Statistics

Collegiate

See also