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SIXTH EDITION

Jerrold E. Marsden

California Institute of Technology, Pasadena

Anthony Tromba

University of California, Santa Cruz

W. H. Freeman and Company • New York

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Publisher: Ruth Baruth

Executive Editor: Terri Ward

Executive Marketing Manager: Jennifer Somerville

Associate Editor: Katrina Wilhelm

Senior Media Editor: Laura Capuano

Editorial Assistant: Tyler Holzer

Project Editor: Vivien Weiss

Art Director: Diana Blume

Director of Production: Ellen Cash

Illustration Coordinator: Bill Page

Illustrations: Network Graphics

Photo Editor: Ted Szczepanski

Compositor: MPS Limited, a Macmillan Company

Manufacturer: Quad Graphics

Cover Image: Robert Wilson

Politics is for the moment.

An equation is for eternity.

   A. EINSTEIN

Some calculus tricks are quite easy.

Some are enormously difficult. The fools

who write the textbooks of

advanced mathematics seldom take the trouble

to show you how easy the easy calculations are.

   SILVANUS P. THOMPSON, CALCULUS MADE EASY, MACMILLAN (1910)

Library of Congress Control Number: 2011931725

ISBN-13: 978-1-4292-1508-4

ISBN-10: 1-4292-1508-9

©2012, 2003, 1996, 1988, 1981, 1976 by W. H. Freeman and Company

All rights reserved.

Printed in the United States of America

First printing

W. H. Freeman and Company Publishers

41 Madison Avenue

New York, NY 10010

Houndmills, Basingstoke RG21 6XS, England

www.whfreeman.com

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