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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF

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, Springer-Verlag, New York-Heidelberg, 1978. Translated from the Russian by K. Vogtmann and A. Weinstein; Graduate Texts in Mathematics, 60. MR 0690288 (57 #14033b)
  • 2. 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 (81e:58025)
  • 3. Claude Godbillon, Géométrie différentielle et mécanique analytique, Hermann, Paris, 1969 (French). MR 0242081 (39 #3416)
  • 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. Daniel Bennequin, Problèmes elliptiques, surfaces de Riemann et structures symplectiques, Astérisque 145-146 (1987), 4, 111–136 (French). Séminaire Bourbaki, Vol.\ 1985/86. MR 880029 (88g:58051)
  • 6. Mikhael Gromov, Partial differential relations, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 9, Springer-Verlag, Berlin, 1986. MR 864505 (90a:58201)
  • 7. Victor Guillemin and Shlomo Sternberg, Symplectic techniques in physics, Cambridge University Press, Cambridge, 1984. MR 770935 (86f:58054)


Review Information

Reviewer: William M. Boothby
Journal: Bull. Amer. Math. Soc. 20 (1989), 89-94
DOI: http://dx.doi.org/10.1090/S0273-0979-1989-15708-X
PII: S 0273-0979(1989)15708-X