A new set of textbooks: Enrichment Mathematics for Secondary School Students is designed to provide students with a deep understanding of secondary school mathematics and foster a lifelong love for the subject. Another excellent series covering the secondary school mathematics curriculum is produced by Art of Problem Solving. For books that go beyond the standard secondary school curriculum, see below.

 

Foundations

• R. Hammack, Book of Proof (3rd Ed.)

• K. Houston, How to Think Like A Mathematician.

 

Calculus

• J. Stewart, Calculus (9th Ed.)

• M. Spivak, Calculus (4th Ed.)

 

Abstract Algebra

• J. Beachy & W. Blair, Abstract Algebra (4th Ed.)

 

Linear Algebra

• H. Anton & C. Rorres, Elementary Linear Algebra (11th Ed.)

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Probability

• J. Hwang & J. Blitzstein, Introduction to Probability (2nd Ed.)