Fundamental Principles of Classical Mechanics: A Geometrical Perspective Hardcover - 2014
by Kai S. Lam
From the jacket flap
This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).
Details
- Title Fundamental Principles of Classical Mechanics: A Geometrical Perspective
- Author Kai S. Lam
- Binding Hardcover
- Pages 592
- Volumes 1
- Language ENG
- Publisher World Scientific Publishing Company
- Date 2014-09-15
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- ISBN 9789814551489 / 9814551481
- Weight 2.15 lbs (0.98 kg)
- Dimensions 9 x 6.1 x 1.4 in (22.86 x 15.49 x 3.56 cm)
-
Themes
- Aspects (Academic): Science/Technology Aspects
- Library of Congress Catalog Number 2014005901
- Dewey Decimal Code 531.015
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