Differential Geometry

Basic Notions and Physical Examples

Autor: Marcelo Epstein

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Legare: Carte broșată

Editura: Springer International Publishing AG

Disponibilitate: În depozitul extern

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Differential Geometry offers a concise introduction to some basic notions of modern differential geo...

Informații despre carte

Autor

Marcelo Epstein

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

139

EAN

9783319357140

ISBN

331935714X

Enbook ID

14208393

Editura

Springer International Publishing AG

Greutate

2409

Dimensiuni

155 x 235 x 8

Descriere completă

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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Differential Geometry

Basic Notions and Physical Examples

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