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Book Review

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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?)

  • 1. 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
  • 2. 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
  • 3. V. I. Arnol′d and A. Avez, Ergodic problems of classical mechanics, Translated from the French by A. Avez, W. A. Benjamin, Inc., New York-Amsterdam, 1968. MR 0232910
  • 4. V. I. Arnol′d, V. V. Kozlov, and A. I. Neĭshtadt, Mathematical aspects of classical and celestial mechanics, Dynamical systems, III, Encyclopaedia Math. Sci., vol. 3, Springer, Berlin, 1993, pp. vii–xiv and 1–291. MR 1292466, 10.1007/978-3-540-48926-9_1
  • 5. Giovanni Gallavotti, The elements of mechanics, Texts and Monographs in Physics, Springer-Verlag, New York, 1983. Translated from the Italian. MR 698947
  • 6. Lynn H. Loomis and Shlomo Sternberg, Advanced calculus, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1968. MR 0227327
  • 7. S. Mac Lane, Geometrical mechanics, Parts I and II, Lecture Notes in Mathematics, Univ. of Chicago, 1968.
  • 8. Jerrold E. Marsden, Lectures on mechanics, London Mathematical Society Lecture Note Series, vol. 174, Cambridge University Press, Cambridge, 1992. MR 1171218
  • 9. 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
  • 10. 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
  • 11. S. Sternberg, Celestial mechanics, Parts I and II, Benjamin, New York, 1969.
  • 12. W. Thirring, Classical dynamical systems, second ed., Springer-Verlag, New York, 1991.
  • 13. C. Truesdell, An idiot’s fugitive essays on science, Springer-Verlag, New York, 1984. Methods, criticism, training, circumstances. MR 769106
  • 14. 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