Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics

Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics

by Joseph L. McCauley
     
 

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.  See more details below

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

Foreword
Acknowledgments
1Universal laws of nature1
2Lagrange's and Hamilton's equations45
3Flows in phase space80
4Motion in a central potential126
5Small oscillations about equilibria148
6Integrable and chaotic oscillations156
7Parameter-dependent transformations187
8Linear transformations, rotations, and rotating frames204
9Rigid body motions223
10Lagrangian dynamics and transformations in configuration space247
11Relativity, geometry, and gravity262
12Generalized vs nonholonomic coordinates295
13Noncanonical flows307
14Damped-driven Newtonian systems334
15Hamiltonian dynamics and transformations in phase space373
16Integrable canonical flows409
17Nonintegrable canonical flows430
18Simulations, complexity, and laws of nature441
Bibliography453
Index467

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