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Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)

Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)
Author: V. I. Arnold
Creators: A. Weinstein, K. Vogtmann
Publisher: Springer
Category: Book

List Price: $69.95
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Rating: 5.0 out of 5 stars 12 reviews
Sales Rank: 96544

Media: Hardcover
Edition: 2nd
Pages: 509
Number Of Items: 1
Shipping Weight (lbs): 1.9
Dimensions (in): 9.3 x 6.3 x 1.1

ISBN: 0387968903
Dewey Decimal Number: 531.01515
EAN: 9780387968902
ASIN: 0387968903

Publication Date: September 5, 1997
Availability: Usually ships in 1-2 business days
Shipping: Expedited shipping available
Condition: New, unread, unused and in perfect condition with no missing or damaged pages, may have a remainder mark.

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Product Description
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.


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