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Synopsis
This text begins with the basic facts of classical mechanics and proceeds to examine many important questions in dynamics. This modern approach, based on the theory of the geometry of manifolds, distinguishes itself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout.
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Review
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
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Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)
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Mathematical Methods of Classical Mechanics (Paperback)
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Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 1441930876
ISBN 13: 9781441930873
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781441930873
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