Editorial Board Satyan L. Devadoss Erica Flapan John Stillwell (Chair) Serge Tabachnikov 2000 Mathematics Subject Classification. Primary 49-01. For additional information and updates on this book, visit www.ams.org/bookpages/stml-72 Library of Congress Cataloging-in-Publication Data Kot, Mark, 1956– A first course in the calculus of variations / Mark Kot. pages cm. (Student mathematical library volume 72) Includes bibliographical references and index. ISBN 978-1-4704-1495-5 (alk. paper) 1. Calculus of variations—Textbooks 2. Calculus of variations—Study and teaching (Higher) I. Title. QA315.K744 2014 515 .64—dc23 2014024014 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy select pages for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Permissions to reuse portions of AMS publication content are now being handled by Copyright Clearance Center’s RightsLink service. For more information, please visit: http://www.ams.org/rightslink. Send requests for translation rights and licensed reprints to reprint-permission @ams.org. Excluded from these provisions is material for which the author holds copyright. In such cases, requests for permission to reuse or reprint material should be addressed directly to the author(s). Copyright ownership is indicated on the copyright page, or on the lower right-hand corner of the first page of each article within proceedings volumes. c 2014 by the author. 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. Visit the AMS home page at http://www.ams.org/ 10 9 8 7 6 5 4 3 2 1 19 18 17 16 15 14
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