Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamicsby Joseph L. McCauley
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.
- Cambridge University Press
- Publication date:
- Edition description:
- New Edition
- Product dimensions:
- 6.85(w) x 9.72(h) x 0.98(d)
Table of ContentsIntroduction; 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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