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Multivariable Calculus Fifth Edition PDF

475 Pages·2011·33.69 MB·English
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Calculus I Analytic Geometry Ill Valencia Community College @1WILEY CvutoltU/ LEARNING SOLUTIONS Multivariable Calculus Fifth Edition Hughes Hallett Gleason McCallum Calculus I Analytic Geometry III Valencia Community College ~ ...__ _______ _ ~WILEY etuto/M/_ LEARNING SOLUTIONS Cover and chapter opening photo© Patrick Zephyr I Patrick Zephyr Nature Photography Copyright © 20 II by John Wiley & Sons, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any fonn or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as pennitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, website www.copyright.com. Requests to the Publisher for pennission should be addressed to the Permissions Department, John Wiley & Sons, Inc., Ill River Street, Hoboken, NJ 07030- 5774, (201)748-6011, fax (201)748-6008, website http://www.wiley.com/go/permissions. To order books or for customer service, please call 1(800)-CALL-WILEY (225-5945). Printed in the United States of America ISBN 978-0-470-87445-5 Printed and bound by EPAC Technologies, Inc. 10 9 8 7 6 5 4 3 2 I ~ MUL TIVARIABLE CALCULUS Fifth Edition Produced by the Calculus Consortium and initially funded by a National Science Foundation Grant. William G. McCallum University of Arizona Daniel Flath Maca/ester College Andrew M. Gleason Harvard University Patti Frazer Lock St. Lawrence University David Mumford Brown University Sheldon P. Gordon SUNY at Farmingdale Wayne Raskind Deborah Hughes-Hallett University of Arizona Brad G. Osgood Stanford University Douglas Quinney University of Keele Jeff Tecosky-Feldman Haverford College Thomas W. Tucker Colgate University with the assistance of Adrian Iovita University of Washington Joe B. Thrash University of Southern California University of Southern Mississippi Coordinated by Elliot J. Marks ~ WILEY John Wiley & Sons, Inc. PUBLISHER ACQUISITIONS EDITOR ASSOCIATE EDITOR EDITORIAL ASSISTANT DEVELOPMENTAL EDITOR MARKETING MANAGER MEDIA EDITOR SENIOR PRODUCTION EDITOR COVER DESIGNER COVER AND CHAPTER OPENING PHOTO Laurie Rosatone David Dietz Shannon Corliss Pamela Lashbrook Anne Scanlan-Rohrerffwo Ravens Editorial Jaclyn Elkins Melissa Edwards Ken Santor Madelyn Lesure @Patrick Zephyr/Patrick Zephyr Nature Photography Problems from Calculus: The Analysis of Functions, by Peter D. Taylor (Toronto: Wall & Emerson, Inc., 1992). Reprinted with permission of the publisher. This book was set in Times Roman by the Consortium using TeX. Mathematica, and the package AsTeX, which was written by Alex Kasman. It was printed and bound by Von Hoffmann Press. The cover was printed by Von Hoffmann Press. This book is printed on acid-free paper. The paper in this book was manufactured by a mill whose forest management programs include sustained yield harvesting of its timberlands. Sustained yield harvesting principles ensure that the numbers of trees cut each year does not exceed the amount of new growth. Copyright @2009 John Wiley & Sons, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center. 222 Rosewood Drive. Danvers, MA 01923, (508) 750-8400, fax (508) 750-4470. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc .• Ill River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, E-Mail:

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