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Fundamental Principles Of Classical Mechanics: A Geometrical Perspective

Af: Kai S Lam Engelsk Hardback

Fundamental Principles Of Classical Mechanics: A Geometrical Perspective

Af: Kai S Lam Engelsk Hardback
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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).
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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).
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 592
ISBN-13: 9789814551489
Indbinding: Hardback
Udgave:
ISBN-10: 9814551481
Kategori: Klassisk mekanik
Udg. Dato: 15 sep 2014
Længde: 36mm
Bredde: 151mm
Højde: 235mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 15 sep 2014
Forfatter(e): Kai S Lam
Forfatter(e) Kai S Lam

Kategori Klassisk mekanik

ISBN-13 9789814551489

Sprog Engelsk

Indbinding Hardback

Sider 592

Udgave

Længde 36mm

Bredde 151mm

Højde 235mm

Udg. Dato 15 sep 2014

Oplagsdato 15 sep 2014

Forlag World Scientific Publishing Co Pte Ltd

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