Bulletin of the American Mathematical Society

MathSciNet review: 1567728
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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.

V. Arnold, Les méthodes mathématiques de la mécanique classique, Éditions Mir, Moscow, 1976 (French). Traduit du russe par Djilali Embarek. MR 0474391

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

Claude Godbillon, Géométrie différentielle et mécanique analytique, Hermann, Paris, 1969 (French). MR 0242081

4.

I. N. Sneddon and S. Sternberg, Reviews of [1 and 2], Bull. Amer. Math. Soc. (N. S. ) 2 (1980), 346-352; 378-387.

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

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, DOI 10.1007/978-3-662-02267-2

Victor Guillemin and Shlomo Sternberg, Symplectic techniques in physics, Cambridge University Press, Cambridge, 1984. MR 770935

1.

V. I. Arnold, Mathematical methods of classical mechanics, Graduate Texts in Math., no. 60, Springer-Verlag, Berlin and New York, 1978. MR 0474391

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