Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics - Softcover

McCauley, Joseph

Softcover

ISBN 10: 0521578825 ISBN 13: 9780521578820

Publisher: Cambridge University Press, 2010

Synopsis

This is an advanced 1997 text for first-year graduate students in physics and engineering taking a standard classical mechanics course. It was the first book to describe the subject in the context of the language and methods of modern nonlinear dynamics. The organising principle of the text is integrability vs. nonintegrability. Flows in phase space and transformations are introduced early and systematically and are applied throughout the text. The standard integrable problems of elementary physics are analysed from the standpoint of flows, transformations, and integrability. This approach then 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 be of value to physicists and engineers taking graduate courses in classical mechanics. It will also interest specialists in nonlinear dynamics, mathematicians, engineers and system theorists.

About this title

Review

'I believe that this book is both a significant and timely, and indeed personal, contribution to the literature on mechanics, and one which will sit comfortably alongside other definitive Cambridge publications.' Nigel Steele, The Times Higher Education Supplement

' ... remarkable imagination and insight ... a godsend to any enterprising and conscientious teacher newly designing a classical mechanics course.' G. Barton, Contemporary Physics

'The book will be valuable to physicists and engineers studying the classical mechanics. It will also be of interest to specialists in nonlinear dynamics, mathematicians, and system theorists.' V. Marinca, Zentralblatt MATH

Book Description

An advanced 1997 text for first-year graduate students in physics and engineering taking a standard classical mechanics course. It was the first book to describe the subject in the context of the language and methods of modern nonlinear dynamics. It will be of value to physicists and engineers taking graduate courses in classical mechanics, as well as mathematicians, engineers and system theorists.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2010
• Language: English
• ISBN 10: 0521578825
• ISBN 13: 9780521578820
• Binding: Paperback
• Edition number: 1
• Number of pages: 488