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Bulletin of the American Mathematical Society

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Book Review

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Full text of review: PDF
Book Information:

Editors: Hildeberto Cabral and Florin Diacu (Editors)
Title: Classical and celestial mechanics, the Recife lectures
Additional book information: edited by Hildeberto Cabral and Florin Diacu (Editors), Princeton Univ. Press, Princeton, NJ, 2002, xviii+385 pp., ISBN 0-691-05022-8, $49.50

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. O. Dziobek, Über einen merkwürdigen Fall des Vielkörperproblems, Astron. Nach. 152 (1900), 33-46.
  • 4. J.L. Lagrange, \OEuvres, vol. 6, Gauthier-Villars, Paris (1873), 272.
  • 5. Kenneth R. Meyer, Symmetries and integrals in mechanics, Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971) Academic Press, New York, 1973, pp. 259–272. MR 0331427
  • 6. J. Marsden, R. Montgomery, and T. Ratiu, Reduction, symmetry, and phases in mechanics, Mem. Amer. Math. Soc. 88 (1990), no. 436, iv+110. MR 1030714, 10.1090/memo/0436
  • 7. Jerrold Marsden and Alan Weinstein, Reduction of symplectic manifolds with symmetry, Rep. Mathematical Phys. 5 (1974), no. 1, 121–130. MR 0402819
  • 8. J. Moser, On invariant curves of area-preserving mappings of an annulus, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II 1962 (1962), 1–20. MR 0147741
  • 9. 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
  • 10. Aurel Wintner, The Analytical Foundations of Celestial Mechanics, Princeton Mathematical Series, v. 5, Princeton University Press, Princeton, N. J., 1941. MR 0005824

Review Information:

Reviewer: Richard Moeckel
Affiliation: University of Minnesota
Email: rick@math.umn.edu
Journal: Bull. Amer. Math. Soc. 41 (2004), 121-125
Published electronically: October 2, 2003
Review copyright: © Copyright 2003 American Mathematical Society