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High school mathematics learning recommendations

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This page lists recommendations for learning high school mathematics.

Subject-specific recommendations

See detailed recommendations for each subject:

General recommendations

Textbooks

We recommend the Art of Problem Solving textbooks. Information below:

Book Author ISBN and purchase links Why we're recommending it
Introduction to Algebra Richard Rusczyk ISBN 978-1-934124-14-7, paperback This is a first year high school algebra textbook published by Art of Problem Solving that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, on Quora.
Introduction to Geometry Richard Rusczyk ISBN 978-1-934124-08-6, paperback This is a high school geometry textbook published by Art of Problem Solving that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, on Quora.
Measurement Paul Lockhart ISBN 978-0674057555, Amazon paperback Paul Lockhart is a professional mathematician who spent years teaching high school and developing innovative curriculum. This offers his take on geometry and calculus. The portion on geometry can be learned concurrently with geometry, and the portion on calculus can be learned concurrently with calculus.
Intermediate Algebra Richard Rusczyk and Matthew Crawford ISBN 978-1-934124-04-8, paperback This is a second year high school algebra textbook published by Art of Problem Solving, that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, on Quora.
Precalculus Richard Rusczyk ISBN 978-1-934124-16-1, paperback This is a precalculus textbook, published by Art of Problem Solving, that teaches elements of mathematical thinking and problem solving, as opposed to rote drill. The series has been reviewed very favorably, for example, on Quora.
Calculus David Patrick ISBN 978-1-934124-24-6, paperback
Excursions in Calculus: An Interplay of the Continuous and the Discrete Robert M. Young ISBN 978-0883853177, Amazon paperback This book has some very nice applications of calculus, and studying it concurrently with calculus will help reinforce your understanding of calculus.


Online resources

See our online mathematics learning resources for a comprehensive list of resources, most of them including content specific to high school mathematics.

If you're looking for more

Contest mathematics

See our contest mathematics learning recommendations. For more on the benefits of learning contest mathematics, see contest mathematics learning benefits.

Sneak peek of higher mathematics

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:

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

Proper study of undergraduate-level mathematics

See these recommendations pages:

General mathematical enrichment

See:

  • Mathematics reading recommendations: This lists books about mathematics that are meant for wide audiences and can be read without paper and pencil. Most of them do not require knowledge of mathematics beyond high school.
  • Books about mathematical history provides a more detailed list of books specifically about the history of mathematics.