Download EBOOK Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics (AM-77) PDF for free


Download EBOOK Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics (AM-77) PDF for free Category: Science & Geography
The author of the book: Jürgen Moser
Format files: PDF, EPUB, TXT, DOCX
The size of the: 1.97 MB
Language: English
ISBN-13: 9780691089102
Edition: Princeton University Press
Date of issue: 14 April 2015

Description of the book "Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics (AM-77)":

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 PDF 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 ePub chaos in dynamics.

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Jürgen Moser

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Download EBOOK Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics (AM-77) PDF for free



Download EBOOK Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics (AM-77) for free

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