Calculus (Eighth editon)

"Calculus is one of the greatest achievements of the human intellect.

Inspired by problems in astronomy, Newton and Leibniz developed the ideas of calculus 300 years ago.

Since then, each century has demonstrated the power of calculus to illuminate questions in mathematics, the physical sciences, engineering, and the social and biological sciences.

Calculus has been so successful both because its central theme-change-is pivotal to an analysis of the natural world and because of its extraordinary power to reduce complicated problems to simple procedures.

Therein lies the danger in teaching calculus: it is possible to teach the subject as nothing but procedures- thereby losing sight of both the mathematics and of its practical value.

This edition of Calculus continues our effort to promote courses in which understanding and computation reinforce each other.

It reflects the input of users at research universities, four-year colleges, commu