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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,
uvres, 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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