Fundamental Principles of Classical Mechanics: a Geometrical Perspective - Lam, Kai S (California State Polytechnic University, Pomona, USA) - Livros - World Scientific Publishing Co Pte Ltd - 9789814551489 - 15 de setembro de 2014
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Lam, Kai S (California State Polytechnic University, Pomona, USA)
Fundamental Principles of Classical Mechanics: a Geometrical Perspective 1º edição

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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).

574 pages, black & white tables, figures

Mídia Livros     Hardcover Book   (Livro com lombada e capa dura)
Lançado 15 de setembro de 2014
ISBN13 9789814551489
Editoras World Scientific Publishing Co Pte Ltd
Páginas 592
Dimensões 151 × 235 × 36 mm   ·   998 g
Idioma Inglês  

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