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Geometrical Theory Of Dynamical Systems And Fluid Flows (Revised Edition), Kambe Tsutomu


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Автор: Kambe Tsutomu
Название:  Geometrical Theory Of Dynamical Systems And Fluid Flows (Revised Edition)
ISBN: 9789814282246
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9814282243
Обложка/Формат: Hardback
Страницы: 444
Вес: 0.77 кг.
Дата издания: 29.12.2009
Серия: Advanced Series In Nonlinear Dynamics
Язык: English
Издание: 2 rev ed
Иллюстрации: Black & white illustrations, figures
Размер: 231 x 155 x 31
Читательская аудитория: Postgraduate, research & scholarly
Основная тема: Mathematics / Mathematical Physics
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: A guide to the geometrical theory of dynamical systems, fluid flows and certain integrable systems. It helps to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples.


Fundamental Principles Of Classical Mechanics: A Geometrical Perspective

Автор: Lam Kai S
Название: Fundamental Principles Of Classical Mechanics: A Geometrical Perspective
ISBN: 9814551481 ISBN-13(EAN): 9789814551489
Издательство: World Scientific Publishing
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Описание: 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).

The Geometrical Language of Continuum Mechanics

Автор: Epstein
Название: The Geometrical Language of Continuum Mechanics
ISBN: 1107617030 ISBN-13(EAN): 9781107617032
Издательство: Cambridge Academ
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Описание: Here Epstein deals with modern differential geometry by placing it within the context of its application to the mechanics of deformable media (continuum mechanics). These two disciplines are mutually compatible as one enlightens the understanding of the other. Throughout the book, the mathematical concepts are exemplified by their engineering counterparts.


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