Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics

Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics

by Joseph L. McCauley
     
 

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ISBN-10: 0521578825

ISBN-13: 9780521578820

Pub. Date: 04/28/2010

Publisher: Cambridge University Press

This advanced text is the first book to describe the subject of classical mechanics in the context of the language and methods of modern nonlinear dynamics. The organizing principle of the text is integrability vs. nonintegrability.

Overview

This advanced text is the first book to describe the subject of classical mechanics in the context of the language and methods of modern nonlinear dynamics. The organizing principle of the text is integrability vs. nonintegrability.

Product Details

ISBN-13:
9780521578820
Publisher:
Cambridge University Press
Publication date:
04/28/2010
Edition description:
New Edition
Pages:
488
Product dimensions:
6.85(w) x 9.72(h) x 0.98(d)

Table of Contents

Introduction; 1. Universal laws of nature; 2. Lagrange's and Hamilton's equations; 3. Flows in phase space; 4. Motion in a central potential; 5. Small oscillations about equilibria; 6. Integrable and chaotic oscillations; 7. Parameter-dependent transformations; 8. Linear transformations, rotations and rotating frames; 9. Rigid body dynamics; 10. Lagrangian dynamics and transformations in configuration space; 11. Relativity, geometry, and gravity; 12. Generalized vs. nonholonomic coordinates; 13. Noncanonical flows; 14. Damped driven Newtonian systems; 15. Hamiltonian dynamics and transformations in phase space; 16. Integrable canonical flows; 17. Nonintegrable canonical flows; 18. Simulations, complexity, and laws of nature.

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