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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


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?)

  • Ralph Abraham and Jerrold E. Marsden, Foundations of mechanics, Benjamin/Cummings Publishing Co., Inc., Advanced Book Program, Reading, Mass., 1978. Second edition, revised and enlarged; With the assistance of Tudor Raţiu and Richard Cushman. MR 515141
  • 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, DOI 10.1007/978-1-4757-2063-1
  • V. I. Arnol′d and A. Avez, Ergodic problems of classical mechanics, W. A. Benjamin, Inc., New York-Amsterdam, 1968. Translated from the French by A. Avez. MR 0232910
  • 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
  • Giovanni Gallavotti, The elements of mechanics, Texts and Monographs in Physics, Springer-Verlag, New York, 1983. Translated from the Italian. MR 698947, DOI 10.1007/978-3-662-00731-0
  • 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.
  • Jerrold E. Marsden, Lectures on mechanics, London Mathematical Society Lecture Note Series, vol. 174, Cambridge University Press, Cambridge, 1992. MR 1171218, DOI 10.1017/CBO9780511624001
  • Jürgen Moser, Stable and random motions in dynamical systems, Annals of Mathematics Studies, No. 77, 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. MR 0442980
  • Carl Ludwig Siegel and Jürgen K. Moser, Lectures on celestial mechanics, Die Grundlehren der mathematischen Wissenschaften, Band 187, Springer-Verlag, New York-Heidelberg, 1971. Translation by Charles I. Kalme. MR 0502448
  • 11.
    S. Sternberg, Celestial mechanics, Parts I and II, Benjamin, New York, 1969.
    W. Thirring, Classical dynamical systems, second ed., Springer-Verlag, New York, 1991.
  • C. Truesdell, An idiot’s fugitive essays on science, Springer-Verlag, New York, 1984. Methods, criticism, training, circumstances. MR 769106, DOI 10.1007/978-1-4613-8185-3
  • 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
    Journal: Bull. Amer. Math. Soc. 33 (1996), 351-353
    Review copyright: © Copyright 1996 American Mathematical Society