Calculus: Single and Multivariable, 4th Edition

by Deborah Hughes-Hallett (Univ. of Arizona); Andrew M. Gleason (Harvard University ); William G. McCallum (Univ. of Arizona); Daniel E. Flath (Macalester College ); Patti Frazer Lock (St. Lawrence Univ.); Thomas W. Tucker (Colgate Univ.); David O. Lome

• ISBN13: 9780471472452
• ISBN10: 047147245X
• Edition: 4th
• Format: Hardcover
• Copyright: 2004-12-01
• Publisher: WILEY

Summary

Striking a balance between concepts, modeling, and skills, this highly acclaimed book arms readers with an accessible introduction to calculus. It builds on the strengths from previous editions, presenting key concepts graphically, numerically, symbolically, and verbally. Guided by this innovative Rule of Four approach, the fourth edition examines new topics while providing readers with a strong conceptual understanding of the material.

Table of Contents

A Library of Functions

Key Concept: The Derivative

Short-Cuts to Differentiation

Using the Derivative

Key Concept: The Definite Integral

Constructing Antiderivatives

Integration

Using the Definite Integral

Series

Approximating Functions

Differential Equations

Functions of Several Variables

A Fundamental Tool: Vectors

Differentiating Functions of Many Variables

Optimization: Local and Global Extrema

Integrating Functions of Many Variables

Parameterized Curves and Vector Fields

Line Integrals

Flux Integrals

Calculus of Vector Fields

Roots, Accuracy, and Bounds

Complex Numbers

Newton's Method

Determinants

Ready Reference

Answers to Odd Numbered Problems

Index

Table of Contents provided by Publisher. All Rights Reserved.