The Geometrical Language of Continuum Mechanics

Language: English

Published by Cambridge University Press, GB, 2014

1107617030 / 9781107617032

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Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialisation of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in terms of their mechanical interpretations. The third part includes the theory of fiber bundles, G-structures, and groupoids, which are applicable to bodies with internal structure and to the description of material inhomogeneity. The abstract notions of differential geometry are thus illuminated by practical and intuitively meaningful engineering applications.…

Seller Inventory # LU-9781107617032

Title
The Geometrical Language of Continuum Mechanics
Author
Marcelo Epstein
Publisher
Cambridge University Press, GB
Publication year
2014
Condition
New
Binding
Paperback
Language
English
ISBN 10
1107617030
ISBN 13
9781107617032
Item weight
570 grams

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