Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics

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9780521481328: Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics

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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This advanced text is the first book to describe the subject of classical mechanics in the context of the language and methods of modern nonlinear dynamics. The organizing principle of the text is integrability vs. nonintegrability.

Review:

"...a fascinating account of the history and foundations of mechanics... a significant and timely, and indeed personal, contribution to the literature on mechanics, and one which will sit comfortably alongside other definitive Cambridge publications." The Times Higher Education Supplement

"This new book on classical dynamics based on new discoveries in chaos is needed and justified because it is written from a new perspective....A particular merit of this book is its instructive presentation of examples of simple dynamic systems....This is a thought provoking book...[it] can serve as both a textbook for physics and engineering graduate students and a reference or self-study book for physicists, engineers and mathematicians....Serious readers who are interested in chaotic dynamics are advised to read Chaos, Dynamics and Fractal--An Algorithmic Approach to Deterministic Chaos by the same author (Cambridge University Press, 1993)." Journal of Mechanical Engineering Science

"...well written and easy to follow. It provides an excellent physical insight into the modern theory of nonlinear dynamics. This reviewer enjoyed reading this book very much because it clarifies many issues which are presented in an abstract format in other books." Applied Mechanics Reviews

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1997. Hardback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****. 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. Bookseller Inventory # APC9780521481328

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1997. Hardback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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. Bookseller Inventory # APC9780521481328

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