McGraw Hill Irwin


Published by MeGraw-HilJ/Irwin, a business unit ofThc McGraw-Hill Companies, Inc., 1221 Avenue of the Americas, New York, NY, 10020. Copyright € 2005, 1984. 1974, 1967 by The McGraw-Hill Companies, Inc. All rights reserved. No part of this publication may be rcproduccd or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written consent ofThe McGraw-Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast for distance learning.

Some aneillaries. including electronic and print components, may not be available lo customers outside the Undid Slates. This book is printed on acid-free paper. 1 2 3 456789 1) DOC/DOC 0 9 8 7 6 5 4 ISBN 0-07-010910-9

About the cover: The graph in Figure 20.1 on page 635 illustrates thai the shortest distance between two points is a straight line. We chose it as the basis for the cover design because such a simple truth requires one of the most advanced techniques found in this book.

Publisher; Can-Burke bxecutive editor: Lucille Sutton

Developmental editor: Rebecca Hicks

Editorial assistant: Jackie (¡rubef

Senior marketing manager: Martin D. Quinn

Senior media producer: Kui Chiang

Project manager: Bruce Girt

Production supervisor: Debra R. Sylvester

Designer: Kami Carter

Supplement producer: Lynn M. Blulm

Senior digital content specialist: Brian Naak

Cover design: Kami Carter

Compositor: interactive Composition Corporation

Printer: R. R. Donnelley

J-'imdamental methods of mathematical economics / Alpha C. Chiang. Kevin Wainwright.—4th cd. p. cm

Includes bibliographical references and index. ISBN 0-07-010910-9 (alk. paper) 1. hconomicii, Mathematical. 1. VVaimvrighi, Kevin, li, Title. 1IB135.C47 2005 330'.0r5l dc22

Library of Congress Cataloging-in-Publication Data



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