Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

by S. G. Rajeev

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Product Details

ISBN-13: 9780199670864
Publisher: Oxford University Press
Publication date: 09/15/2013
Pages: 184
Product dimensions: 9.40(w) x 6.70(h) x 0.50(d)

About the Author

S. G. Rajeev, Department of Physics and Astronomy, University of Rochester

Prof. Rajeev received his B.Sc. in Physics from the University of Kerala, Trivandrum, India (1979), and his Ph.D. in Physics from Syracuse University (1984). He was a postdoctoral fellow at the Massachusetts Institute of Technology (1984-87) before joining the University of Rochester as an Assistant Professor of Physics in 1987. He was promoted to Associate Professor in 1993 and to Professor in 2000. Prof. Rajeev has held visiting appointments at the Institute for Advanced Study, Princeton (1991), the Research Institute for Theoretical Physics, Helsinki (1991), and the Mittag-Leffler Institute, Stockholm (1998).

Table of 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

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