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Advanced mechanics : from Euler's determinism to Arnold's chaos / S.G. Rajeev, Department of Physics and Astronomy, Department of Mathematics, University of Rochester, Rochester, NY 14627.

By: Material type: TextTextPublisher: Oxford : Oxford University Press, 2013Edition: First editionDescription: xiii, 163 pages : illustrations ; 26 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9780199670857 (hardback)
  • 0199670854 (hardback)
  • 9780199670864 (paperback)
  • 0199670862 (paperback)
Subject(s): DDC classification:
  • 531.01515 23 R.S.A
LOC classification:
  • QA805 .R18 2013
Online resources:
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
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 calculations, to suggested research projects. Connections to other disciplines of mathematics and physics are emphasized.
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Holdings
Item type Current library Collection Call number Status Date due Barcode
Books Books Main library A8 Faculty of Engineering & Technology (Mechanical) 531.01515 R.S.A (Browse shelf(Opens below)) Available 00011710

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


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.

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