Mathematical methods of classical mechanics
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V. I. Arnold
Mathematical
Methods of
Classical Mechanics
Second Edition
Translated by K. Vogtmann
and A. Weinstein
With 269 Illustrations
Springer-Verlag
New York Berlin Heidelberg London Paris
Tokyo Hong Kong Barcelona Budapest
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V. I. Arnold
Department of
Mathematics
Steklov Mathematical
Institute
Russian Academy of
Sciences
Moscow 1 17966
GSP-1
Russia
Editorial Board
J. H. Ewing
Department of
Mathematics
Indiana University
Bloomington, IN 47405
U.S.A.
K. Vogtmann
Department of
Mathematics
Cornell University
Ithaca, NY 14853
U.S.A.
A. Weinstein
Department of
Mathematics
University of California
at Berkeley
Berkeley, CA 94720
U.S.A.
F. W. Gehring
Department of
Mathematics
University of Michigan
Ann Arbor, M I 48109
U.S. A.
P. R. HaImos
Department of
Mathematics
Santa Clara University
Santa Clara, CA 95053
U.S.A.
Mathematics Subiect Classifications ( 1991): 70HXX. 70D05. 58-XX
Library of Congress Cataloging-in-Publication Data
Am01 'd, V. I. (Vladimir Igorevich), 1937[Matematicheskie metody klassicheskoi mekhaniki. English]
Mathematical methods of classical mechanics / V.1. Amol 'd ;
translated by K. Vogtmann and A. Weinstein.-2nd ed.
p. cm.-(Graduate
texts in mathematics ; 60)
Translation of: Mathematicheskie metody klassicheskoi mekhaniki.
Bibliography: p.
Includes index.
ISBN 0-387-96890-3
1. Mechanics, Analytic. I. Title. 11. Series.
QA805. A68 1 3 1989
531'.01'515-dc19
88-39823
Title of the Russian Original Edition: Matematicheskie metody klassicheskoi
mekhaniki. Nauka, Moscow, 1974.
Printed o n acid-free paper
0 1978, 1989 by Springer-Verlag New York
Inc.
All rights reserved. This work may not be translated o r copied in whole o r in part without the
written permission of the publisher (Springer-Verlag, 175 Fifth Avenue, New York, NY 10010,
U.S.A.), except for brief excerpts in connection with reviews o r scholarly analysis. Use in wnnection with any form of information storage and retrieval, electronic adaptation, computer software,
o r by similar o r dissimilar methodology now known o r hereafter developed is forbidden.
Printed and bound by R. R. Donnelley and Sons, Harrisonburg, Virginia.
Printed in the United States of America.
9 8 7 6 5 4 3 (Third corrected printing.)
ISBN 0-387-96890-3 Springer-Verlag New York Berlin Heidelberg
ISBN 3-540-96890-3 Springer-Verlag Berlin Heidelberg New York
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