This edition of one of the most widely-used calculus texts – provides a clear reliable and sound presentation of the calculus and is supported by a new design that makes the material more accessible to students. A significant increase in the number of exercises and illustrations serve to make this new edition an even more effective teaching tool for professors. Many new examples and applications have been added to the text. The book incorporates occasional hand-held calculator exercises. Answers for most of the problems are given and/or keyed to the text by page, problem number, article, and chapter.

Prologue / What is Calculus? / The Rate of Change of a Function / Derivatives / Applications of Derivatives / Integration / Applications of Definite Integrals / Transcendental Functions / Integration Methods / Plane Analytic Geometry / Hyperbolic Functions / Polar Coordinates / Sequences and Infinite Series / Power Series / Vectors / Vector Functions and their Derivatives / Partial Derivatives / Multiple Integrals / Vector Analysis / Differential Equations / Appendixes.

Undergraduate students and Teachers