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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. R. Abraham and J. E. Marsden, Foundations of mechanics, second ed., Benjamin/Cummings, Reading, MA, 1978. MR 81e:58025
  • 2. V. I. Arnold, Mathematical methods of classical mechanics, second ed., Springer-Verlag, New York, 1989. MR 90c:58046
  • 3. V. I. Arnold and A. Avez, Ergodic problems of classical mechanics, Benjamin, New York, 1968. MR 38:1233
  • 4. V. I. Arnold, V. V. Kozlov, and A. I. Neishtadt, Mathematical aspects of classical and celestial mechanics, Encyclopedia of Mathematical Sciences, vol. 3 (R. V. Gamkrelidze, editor-in-chief; Dynamical Systems III, V. I. Arnold, ed.), Springer-Verlag, Berlin, 1988; second ed., 1993. MR 95d:58043b
  • 5. G. Gallavotti, The elements of mechanics, Springer-Verlag, New York, 1983. MR 85g:70001
  • 6. L. H. Loomis and S. Sternberg, Advanced calculus, Addison-Wesley, Reading, MA, 1968. MR 37:2912
  • 7. S. Mac Lane, Geometrical mechanics, Parts I and II, Lecture Notes in Mathematics, Univ. of Chicago, 1968.
  • 8. J. E. Marsden, Lectures on mechanics, London Math. Soc. Lecture Note Series, vol. 174, Cambridge Univ. Press, Cambridge, 1992. MR 93f:58078
  • 9. J. K. Moser, Stable and random motions in dynamical systems, with special emphasis on celestial mechanics, Ann. of Math. Stud., No. 77, Princeton Univ. Press, Princeton, NJ, 1973. MR 56:1355
  • 10. C. L. Siegel and J. K. Moser, Lectures on celestial mechanics, Springer-Verlag, Berlin, 1971. MR 58:19464
  • 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: Methods, criticism, training, circumstances, Springer-Verlag, New York, 1984. MR 86g:01060
  • 14. ------, Great scientists of old as heretics in ``The Scientific Method'', Univ. of Virginia Press, Charlottesville, VA, 1987. MR 88m:01038

Review Information:

Reviewer: Mark S. Ashbaugh
Affiliation: University of Missouri
Email: mark@ashbaugh.math.missouri.edu
Journal: Bull. Amer. Math. Soc. 33 (1996), 351-353
MSC (1991): Primary 70Hxx; Secondary 58F05, 70Exx
DOI: https://doi.org/10.1090/S0273-0979-96-00671-4
Review copyright: © Copyright 1996 American Mathematical Society
American Mathematical Society