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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF   This review is available free of charge.
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 0515141
2.
V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag, New York (1989). MR 0997295
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 0331427
6.
J.E. Marsden, R. Montgomery, T. Ratiu, Reduction, symmetry and phases in mechanics, Memoirs AMS, 88 (1990). MR 1030714
7.
J.E. Marsden, A. Weinstein, Reduction of symplectic manifolds with symmetry, Rep. Math. Phys., 5 (1974), 121-130. MR 0402819
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 0147741
9.
C.L. Siegel and J.K. Moser, Lectures on Celestial Mechanics, Springer-Verlag, Berlin (1971), 225-250. MR 0502448
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
Published electronically: October 2, 2003
Review copyright: © Copyright 2003 American Mathematical Society