Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: Jerrold E. Marsden and Tudor S. Ratiu
Title: Introduction to mechanics and symmetry: A basic exposition of classical mechanical systems
Additional book information: Texts Appl. Math., vol. 17, Springer-Verlag, New York, 1994, xiv + 500 pp., ISBN 0-387-97275-7, $64.50$

References [Enhancements On Off] (What's this?)

  • Ralph Abraham and Jerrold E. Marsden, Foundations of mechanics, Benjamin/Cummings Publishing Co., Inc., Advanced Book Program, Reading, Mass., 1978. Second edition, revised and enlarged; With the assistance of Tudor Raţiu and Richard Cushman. MR 515141
  • V. I. Arnol′d, Mathematical methods of classical mechanics, 2nd ed., Graduate Texts in Mathematics, vol. 60, Springer-Verlag, New York, 1989. Translated from the Russian by K. Vogtmann and A. Weinstein. MR 997295
  • V. I. Arnol′d and A. Avez, Ergodic problems of classical mechanics, W. A. Benjamin, Inc., New York-Amsterdam, 1968. Translated from the French by A. Avez. MR 0232910
  • Dynamical systems. III, 2nd ed., Encyclopaedia of Mathematical Sciences, vol. 3, Springer-Verlag, Berlin, 1993. Mathematical aspects of classical and celestial mechanics; A translation of Current problems in mathematics. Fundamental directions, Vol. 3 (Russian), Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1985 [ MR0833508 (87i:58151)]; Translation by A. Iacob; Translation edited by V. I. Arnol′d. MR 1292465
  • Giovanni Gallavotti, The elements of mechanics, Texts and Monographs in Physics, Springer-Verlag, New York, 1983. Translated from the Italian. MR 698947
  • Lynn H. Loomis and Shlomo Sternberg, Advanced calculus, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1968. MR 0227327
  • S. Mac Lane, Geometrical mechanics, Parts I and II, Lecture Notes in Mathematics, Univ. of Chicago, 1968.
  • Jerrold E. Marsden, Lectures on mechanics, London Mathematical Society Lecture Note Series, vol. 174, Cambridge University Press, Cambridge, 1992. MR 1171218
  • Jürgen Moser, Stable and random motions in dynamical systems, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1973. With special emphasis on celestial mechanics; Hermann Weyl Lectures, the Institute for Advanced Study, Princeton, N. J; Annals of Mathematics Studies, No. 77. MR 0442980
  • Carl Ludwig Siegel and Jürgen K. Moser, Lectures on celestial mechanics, Springer-Verlag, New York-Heidelberg, 1971. Translation by Charles I. Kalme; Die Grundlehren der mathematischen Wissenschaften, Band 187. MR 0502448
  • S. Sternberg, Celestial mechanics, Parts I and II, Benjamin, New York, 1969. W. Thirring, Classical dynamical systems, second ed., Springer-Verlag, New York, 1991.
  • C. Truesdell, An idiot’s fugitive essays on science, Springer-Verlag, New York, 1984. Methods, criticism, training, circumstances. MR 769106
  • C. Truesdell, Great scientists of old as heretics in “the scientific method”, University Press of Virginia, Charlottesville, VA, 1987. MR 915762

Review Information:

Reviewer: Mark S. Ashbaugh
Affiliation: University of Missouri
Journal: Bull. Amer. Math. Soc. 33 (1996), 351-353
Review copyright: © Copyright 1996 American Mathematical Society