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Differential Geometry

Basic Notions and Physical Examples

Language EnglishEnglish
Book Paperback
Book Differential Geometry Marcelo Epstein
Libristo code: 14208393
Publishers Springer International Publishing AG, September 2016
Differential Geometry offers a concise introduction to some basic notions of modern differential geo... Full description
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Differential Geometry offers a concise introduction to some basic notions of modern differential geometry and their applications to solid mechanics and physics. Concepts such as manifolds, groups, fibre bundles and groupoids are first introduced within a purely topological framework. They are shown to be relevant to the description of space-time, configuration spaces of mechanical systems, symmetries in general, microstructure and local and distant symmetries of the constitutive response of continuous media. Once these ideas have been grasped at the topological level, the differential structure needed for the description of physical fields is introduced in terms of differentiable manifolds and principal frame bundles. These mathematical concepts are then illustrated with examples from continuum kinematics, Lagrangian and Hamiltonian mechanics, Cauchy fluxes and dislocation theory. This book will be useful for researchers and graduate students in science and engineering.

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About the book

Full name Differential Geometry
Language English
Binding Book - Paperback
Date of issue 2016
Number of pages 139
EAN 9783319357140
ISBN 331935714X
Libristo code 14208393
Weight 2409
Dimensions 155 x 235 x 8
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