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Book Review

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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. R. Abraham and J.E. Marsden, Foundations of Mechanics, 2nd ed., Benjamin/Cummings, Reading, MA (1978). MR 81e:58025
  • 2. V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag, New York (1989). MR 90c:58046
  • 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. K. Meyer, Symmetries and integrals in mechanics, in Dynamical Systems, ed. M. Peixoto, Academic Press, New York (1973), 259-272. MR 48:9760
  • 6. J.E. Marsden, R. Montgomery, T. Ratiu, Reduction, symmetry and phases in mechanics, Memoirs AMS, 88 (1990). MR 91b:58074
  • 7. J.E. Marsden, A. Weinstein, Reduction of symplectic manifolds with symmetry, Rep. Math. Phys., 5 (1974), 121-130. MR 53:6633
  • 8. J.K. Moser, On invariant curves of area-preserving mappings of an annulus, Nach. Akad. Wiss. Göttingen Math-Phys. Kl. (1962), 1-10. MR 26:5255
  • 9. C.L. Siegel and J.K. Moser, Lectures on Celestial Mechanics, Springer-Verlag, Berlin (1971), 225-250. MR 58:19464
  • 10. A. Wintner, The Analytical Foundations of Celestial Mechanics, Princeton Math. Series 5, Princeton University Press, Princeton, NJ (1941). MR 3:215b

Review Information:

Reviewer: Richard Moeckel
Affiliation: University of Minnesota
Email: rick@math.umn.edu
Journal: Bull. Amer. Math. Soc. 41 (2004), 121-125
MSC (2000): Primary 70-06; Secondary 37N10, 70F15, 70Hxx
Published electronically: October 2, 2003
Review copyright: © Copyright 2003 American Mathematical Society
American Mathematical Society