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Bulletin of the American Mathematical Society

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

Book Review

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Book Information:

Authors: Paulette Libermann and Charles-Michel Marle
Title: Symplectic geometry and analytical mechanics
Additional book information: Translated by Bertram Eugene Schwarzbach. Mathematics and Its Applications, D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1987, xvi + 526 pp., $89.00. ISBN 90-277-2438-5.

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

  • 1. V. I. Arnold, Mathematical methods of classical mechanics, Graduate Texts in Math., no. 60, Springer-Verlag, Berlin and New York, 1978. MR 690288
  • 2. R. Abraham and J. E. Marsden, Foundations of mechanics, 2nd ed., Benjamin/Cummings, Reading, Mass., 1978. MR 515141
  • 3. C. Godbillon, Géométrie différentielle et mécanique analytique, Hermann, Paris, 1969. MR 242081
  • 4. I. N. Sneddon and S. Sternberg, Reviews of [1 and 2], Bull. Amer. Math. Soc. (N. S. ) 2 (1980), 346-352; 378-387.
  • 5. D. Bennequin, Problèmes elliptiques, surfaces de Riemann, et structures symplectiques [d'après M. Gromov], Astérisque 145-146 (1987), 111-136. MR 880029
  • 6. M. Gromov, Partial differential relations, Ergeb. Math. Grenzgeb., vol. 9, Springer-Verlag, Berlin and New York, 1986. MR 864505
  • 7. V. Guillemin and S. Sternberg, Symplectic techniques in physics, Cambridge Univ. Press, Cambridge, 1986. MR 770935

Review Information:

Reviewer: William M. Boothby
Journal: Bull. Amer. Math. Soc. 20 (1989), 89-94
American Mathematical Society