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Advanced mechanics : from Euler's determinism to Arnold's chaos

Author: S G Rajeev
Publisher: Oxford : Oxford University Press, 2013.
Dissertation: Ebooks.
Edition/Format:   Thesis/dissertation : Document : Thesis/dissertation : eBook   Computer File : English : First editionView all editions and formats
Summary:

This book can be used as a textbook for a graduate course on mechanics or for self-study. There are a variety of problems ranging from exercises that verify parts of the text, moderately difficult  Read more...

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Genre/Form: Academic theses
Electronic books
Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: S G Rajeev
ISBN: 9780199670857 0199670854 9780199670864 0199670862 9781299848368 1299848362
OCLC Number: 1034947364
Description: 1 online resource (xiii, 163 pages) : illustrations
Contents: 1. The Variational Principle ; 2. Conservation Laws ; 3. The Simple Pendulum ; 4. The Kepler Problem ; 5. The Rigid Body ; 6. Geometric Theory of Ordinary Differential Equations ; 7. Hamilton's Principle ; 8. Geodesics ; 9. Hamilton-Jacobi Theory ; 10. Integrable Systems ; 11. The Three Body Problem ; 12. The Restricted Three Body Problem ; 13. Magnetic Fields ; 14. Poisson and Symplectic Manifolds ; 15. Discrete Time ; 16. Dynamics in One Real Variable ; 17. Dynamics On The Complex Plane ; 18. KAM Theory
Responsibility: S.G. Rajeev, Department of Physics and Astronomy, Department of Mathematics, University of Rochester, Rochester, NY 14627.

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Rajeev approaches his choice of topics and organization from the point of view of one who is intimately familiar with modern physics. Although he starts from very elementary classical mechanics, he Read more...

 
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