Bulletin of the American Mathematical Society

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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, $49.50$

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, 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 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

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, 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 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