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Book Review
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Book Information
Author(s):
Jerrold E. Marsden and Tudor S. Ratiu
Title:
Introduction to mechanics and symmetry: A basic exposition of classical mechanical systems
Additional book information:
Texts Appl. Math., vol. 17, Springer-Verlag,
New York,
1994,
xiv + 500,
$64.50,
ISBN 0-387-97275-7
References:
- 1.
- R. Abraham and J. E. Marsden, Foundations of mechanics, second ed., Benjamin/Cummings, Reading, MA, 1978. MR 81e:58025
- 2.
- V. I. Arnold, Mathematical methods of classical mechanics, second ed., Springer-Verlag, New York, 1989. MR 90c:58046
- 3.
- V. I. Arnold and A. Avez, Ergodic problems of classical mechanics, Benjamin, New York, 1968. MR 38:1233
- 4.
- V. I. Arnold, V. V. Kozlov, and A. I. Neishtadt, Mathematical aspects of classical and celestial mechanics, Encyclopedia of Mathematical Sciences, vol. 3 (R. V. Gamkrelidze, editor-in-chief; Dynamical Systems III, V. I. Arnold, ed.), Springer-Verlag, Berlin, 1988; second ed., 1993. MR 95d:58043b
- 5.
- G. Gallavotti, The elements of mechanics, Springer-Verlag, New York, 1983. MR 85g:70001
- 6.
- L. H. Loomis and S. Sternberg, Advanced calculus, Addison-Wesley, Reading, MA, 1968. MR 37:2912
- 7.
- S. Mac Lane, Geometrical mechanics, Parts I and II, Lecture Notes in Mathematics, Univ. of Chicago, 1968.
- 8.
- J. E. Marsden, Lectures on mechanics, London Math. Soc. Lecture Note Series, vol. 174, Cambridge Univ. Press, Cambridge, 1992. MR 93f:58078
- 9.
- J. K. Moser, Stable and random motions in dynamical systems, with special emphasis on celestial mechanics, Ann. of Math. Stud., No. 77, Princeton Univ. Press, Princeton, NJ, 1973. MR 56:1355
- 10.
- C. L. Siegel and J. K. Moser, Lectures on celestial mechanics, Springer-Verlag, Berlin, 1971. MR 58:19464
- 11.
- S. Sternberg, Celestial mechanics, Parts I and II, Benjamin, New York, 1969.
- 12.
- W. Thirring, Classical dynamical systems, second ed., Springer-Verlag, New York, 1991.
- 13.
- C. Truesdell, An idiot's fugitive essays on science: Methods, criticism, training, circumstances, Springer-Verlag, New York, 1984. MR 86g:01060
- 14.
- ------, Great scientists of old as heretics in ``The Scientific Method'', Univ. of Virginia Press, Charlottesville, VA, 1987. MR 88m:01038
Additional Information:
Reviewer(s):
Mark
S.
Ashbaugh
Affiliation:
University of Missouri
Email:
mark@ashbaugh.math.missouri.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
33
(1996),
351-353.
MSC
(1991):
Primary 70Hxx;
Secondary 58F05, 70Exx
DOI:
10.1090/S0273-0979-96-00671-4
PII:
S 0273-0979(96)00671-4
Copyright of article:
Copyright
1996,
American Mathematical Society
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