Calculus

A comprehensive textbook
covering single-variable calculus. Specific topics covered include
limits, continuity, derivatives, integrals, power series, plane curves,
and differential equations.

Calculus is part of the acclaimed Art of Problem Solving curriculum designed to challenge
high-performing middle and high school students. Calculus
covers all topics from a typical high school or first-year college
calculus course, including limits, continuity, differentiation,
integration, power series, plane curves, and elementary differential
equations. The text is written to challenge students at a much deeper
level than a traditional high school or first-year college calculus
course.

The book includes hundreds of problems, ranging from routine exercises
to extremely challenging problems drawn from major mathematics competitions such as the
Putnam Competition and the Harvard-MIT Math Tournament. Many
of the problems have full, detailed solutions in the text.