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Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics

Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics

Paperback

Physics

ISBN10: 0521578825
ISBN13: 9780521578820
Publisher: Cambridge
Published: May 8 1997
Pages: 488
Weight: 1.79
Height: 1.00 Width: 6.93 Depth: 9.78
Language: English
An advanced text for first-year graduate students in physics and engineering taking a standard classical mechanics course, this is the first book to describe the subject in the context of the language and methods of modern nonlinear dynamics. The organizing principle of the text is integrability vs. nonintegrability. It introduces flows in phase space and transformations early and illustrates their applications throughout the text. The standard integrable problems of elementary physics are analyzed from the standpoint of flows, transformations, and integrability. This approach allows the author to introduce most of the interesting ideas of modern nonlinear dynamics via the most elementary nonintegrable problems of Newtonian mechanics. This text will also interest specialists in nonlinear dynamics, mathematicians, engineers and system theorists.

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