Book Review
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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
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