The Geometrical Language of Continuum Mechanics, Epstein

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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Цена: 72250 T
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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).

Автор: Kambe Tsutomu
Название: Geometrical Theory Of Dynamical Systems And Fluid Flows (Revised Edition)
ISBN: 9814282243 ISBN-13(EAN): 9789814282246
Издательство: World Scientific Publishing
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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.

Автор: Levy Robert, Spillers William R.
Название: Analysis of Geometrically Nonlinear Structures
ISBN: 1402016549 ISBN-13(EAN): 9781402016547
Издательство: Springer
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Цена: 127980 T
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Описание: This volume provides an extension of the methods of linear structural analysis to the case of geometrically nonlinear effects. Its importance derives from the theorem stating that "in the presence of pre-stress, geometrically nonlinear effects are of the same order as linear elastic effects".

Автор: W Michael Lai
Название: Introduction to Continuum Mechanics,
ISBN: 0750685603 ISBN-13(EAN): 9780750685603
Издательство: Elsevier Science
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Описание: Introduces basic principles of continuum mechanics and their applications to real engineering problems. This book offers a presentation of the coordinate invariant quantity, the tensor, introduced as a linear transformation. It offers coverage of elasticity including solutions of some 3-D problems based on fundamental potential functions approach.