High school mathematics learning recommendations

Textbooks

We recommend

• Introduction to Algebra
• Introduction to Geometry
• Intermediate Algebra
• Precalculus
• Calculus

from the series of textbooks produced by Art of Problem Solving. The series has been reviewed very favorably, for example, on Quora. The books in the series teach elements of mathematical thinking and problem solving, as opposed to rote drill.

Online math learning resources

Many of the online math learning resources that we list cover high school topics.

Higher math

If you're a high school student interested in math for its own sake, you should consider learning some higher math while in high school.

Some books that we recommend for learning higher math that you can learn from without knowing calculus are:

• Groups and Symmetry: A Guide to Discovering Mathematics and Knots and Surfaces: A Guide to Discovering Mathematics by David Farmer and Theodore Stanford.
• The Knot Book by Colin Adams.
• The Shape of Space by Jeffrey Weeks.
• Yearning for the Impossible: The Surprising Truths of Mathematics by John Stillwell.
• Elementary Number Theory by Jones and Jones.
• Galois' Theory Of Algebraic Equations by Jean-Pierre Tignol.

We also recommend the following books, that assume calculus as a prerequsite:

• A Primer of Analytic Number Theory: From Pythagoras to Riemann by Jeffrey Stopple.
• Excursions in Calculus: An Interplay of the Continuous and the Discrete by Robert Young.

You may also be interested by our books about mathematical history.

Contest math

We recommend [Art of Problem Solving]'s books, classes and book recommendations for preparing for math contests. We offer some general thoughts on the value of contest math at our contest math page.