Graduate Texts in Mathematics

Mathematical Methods of Classical Mechanics

Authors: Arnol'd, V.I.

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About this Textbook

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.

Reviews

Second Edition

V.I. Arnol’d

Mathematical Methods of Classical Mechanics

"The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising . . . The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview."

—AMERICAN MATHEMATICAL MONTHLY


Table of contents (10 chapters)

Buy this book

eBook £39.99
price for United Kingdom (gross)
  • ISBN 978-1-4757-2063-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £50.99
price for United Kingdom (gross)
  • ISBN 978-0-387-96890-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover £50.99
price for United Kingdom (gross)
  • ISBN 978-1-4419-3087-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Methods of Classical Mechanics
Authors
Translated by
Weinstein, A., Vogtmann, K.
Series Title
Graduate Texts in Mathematics
Series Volume
60
Copyright
1989
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4757-2063-1
DOI
10.1007/978-1-4757-2063-1
Hardcover ISBN
978-0-387-96890-2
Softcover ISBN
978-1-4419-3087-3
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XVI, 520
Additional Information
Originally published by Nauka, Moscow, 1974
Topics