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Stable and Random Motions in Dynamical Systems - With Special Emphasis on Celestial Mechanics (AM-77) (Paperback, Revised edition) Loot Price: R1,742
Discovery Miles 17 420
Stable and Random Motions in Dynamical Systems - With Special Emphasis on Celestial Mechanics (AM-77) (Paperback, Revised...

Stable and Random Motions in Dynamical Systems - With Special Emphasis on Celestial Mechanics (AM-77) (Paperback, Revised edition)

Jurgen Moser

Series: Princeton Landmarks in Mathematics and Physics

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Loot Price R1,742 Discovery Miles 17 420 | Repayment Terms: R163 pm x 12*

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For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jurgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrees to the fascinating worlds of order and chaos in dynamics."

General

Imprint: Princeton University Press
Country of origin: United States
Series: Princeton Landmarks in Mathematics and Physics
Release date: May 2001
First published: May 2001
Authors: Jurgen Moser
Dimensions: 235 x 152 x 14mm (L x W x T)
Format: Paperback - Trade
Pages: 216
Edition: Revised edition
ISBN-13: 978-0-691-08910-2
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Physics > Applied physics & special topics > Astrophysics
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LSN: 0-691-08910-8
Barcode: 9780691089102

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