Editorial Board
Gerald B. Folland
Robin Forman
Brad G. Osgood (Chair)
Michael Starbird
Cover art by Karen Mesterton-Gibbons.
2000 Mathematics Subject Classification. Primary 49–01, 49K15, 49N05
49N35; Secondary 92–02, 92D50.
For additional information and updates on this book, visit
www.ams.org/bookpages/stml-50
Library of Congress Cataloging-in-Publication Data
Mesterton-Gibbons, Mike.
A primer on the calculus of variations and optimal control theory / Mik
Mesterton-Gibbons.
p. cm. (Student mathematical library ; v. 50)
Includes bibliographical references and index.
ISBN 978-0-8218-4772-5 (alk. paper)
1. Calculus of variations. 2. Control theory. 3. Mathematical optimizatio
I. Title.
QA315.M46 2009
515
.64—dc22 200900770
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publication is permitted only under license from the American Mathematical Societ
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c 2009 by the American Mathematical Society. All rights reserved.
Reprinted with corrections by the American Mathematical Society, 2014.
The American Mathematical Society retains all rights
except those granted to the United States Government.
Printed in the United States of America.
The paper used in this book is acid-free and falls within the guidelines
established to ensure permanence and durability.
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