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Book Review

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Book Information:

Authors: 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 pp., ISBN 0-387-97275-7, $64.50

References [Enhancements On Off] (What's this?)

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  • 2. V. I. Arnol′d, Mathematical methods of classical mechanics, 2nd ed., Graduate Texts in Mathematics, vol. 60, Springer-Verlag, New York, 1989. Translated from the Russian by K. Vogtmann and A. Weinstein. MR 997295
  • 3. V. I. Arnol′d and A. Avez, Ergodic problems of classical mechanics, Translated from the French by A. Avez, W. A. Benjamin, Inc., New York-Amsterdam, 1968. MR 0232910
  • 4. Dynamical systems. III, 2nd ed., Encyclopaedia of Mathematical Sciences, vol. 3, Springer-Verlag, Berlin, 1993. Mathematical aspects of classical and celestial mechanics; A translation of Current problems in mathematics. Fundamental directions, Vol. 3 (Russian), Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1985 [ MR0833508 (87i:58151)]; Translation by A. Iacob; Translation edited by V. I. Arnol′d. MR 1292465
    V. I. Arnol′d, V. V. Kozlov, and A. I. Neĭshtadt, Mathematical aspects of classical and celestial mechanics, Dynamical systems, III, Encyclopaedia Math. Sci., vol. 3, Springer, Berlin, 1993, pp. vii–xiv and 1–291. MR 1292466, https://doi.org/10.1007/978-3-540-48926-9_1
  • 5. Giovanni Gallavotti, The elements of mechanics, Texts and Monographs in Physics, Springer-Verlag, New York, 1983. Translated from the Italian. MR 698947
  • 6. Lynn H. Loomis and Shlomo Sternberg, Advanced calculus, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1968. MR 0227327
  • 7. S. Mac Lane, Geometrical mechanics, Parts I and II, Lecture Notes in Mathematics, Univ. of Chicago, 1968.
  • 8. Jerrold E. Marsden, Lectures on mechanics, London Mathematical Society Lecture Note Series, vol. 174, Cambridge University Press, Cambridge, 1992. MR 1171218
  • 9. Jürgen Moser, Stable and random motions in dynamical systems, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1973. With special emphasis on celestial mechanics; Hermann Weyl Lectures, the Institute for Advanced Study, Princeton, N. J; Annals of Mathematics Studies, No. 77. MR 0442980
  • 10. Carl Ludwig Siegel and Jürgen K. Moser, Lectures on celestial mechanics, Springer-Verlag, New York-Heidelberg, 1971. Translation by Charles I. Kalme; Die Grundlehren der mathematischen Wissenschaften, Band 187. MR 0502448
  • 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, Springer-Verlag, New York, 1984. Methods, criticism, training, circumstances. MR 769106
  • 14. C. Truesdell, Great scientists of old as heretics in “the scientific method”, University Press of Virginia, Charlottesville, VA, 1987. MR 915762

Review Information:

Reviewer: Mark S. Ashbaugh
Affiliation: University of Missouri
Email: mark@ashbaugh.math.missouri.edu
Journal: Bull. Amer. Math. Soc. 33 (1996), 351-353
DOI: https://doi.org/10.1090/S0273-0979-96-00671-4
Review copyright: © Copyright 1996 American Mathematical Society