TY - BOOK AU - Rajeev,S.G. TI - Advanced mechanics: from Euler's determinism to Arnold's chaos SN - 9780199670857 (hardback) AV - QA805 .R18 2013 U1 - 531.01515 23 PY - 2013/// CY - Oxford PB - Oxford University Press KW - Mechanics, Analytic KW - Differentiable dynamical systems KW - Chaotic behavior in systems N1 - engineering bookfair2015; Includes bibliographical references (page 159) and index; 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 N2 - 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 calculations, to suggested research projects. Connections to other disciplines of mathematics and physics are emphasized UR - http://repository.fue.edu.eg/xmlui/handle/123456789/2838 ER -