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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

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


References:

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


Additional Information:

Reviewer(s):
Richard Moeckel
Affiliation: University of Minnesota
Email: rick@math.umn.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 41 (2004), 121-125.

MSC (2000): Primary 70-06; Secondary 37N10, 70F15, 70Hxx
DOI: 10.1090/S0273-0979-03-00997-2
PII: S 0273-0979(03)00997-2
Posted: October 2, 2003
Copyright of article: Copyright 2003, American Mathematical Society


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