Differential Geometry

Basic Notions and Physical Examples

Автор: Marcelo Epstein

Език:

Корици: С меки корици

Издател: Springer International Publishing AG

Наличност: Външен склад

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126.09 € 246.61 лв

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

Информация за книгата

Автор

Marcelo Epstein

Език

Английски език

Корици

Книга - С меки корици

Издадена

2016

страници

139

EAN

9783319357140

ISBN

331935714X

Enbook ID

14208393

Издател

Springer International Publishing AG

Теглоt

2409

Размери

155 x 235 x 8

Пълно описание

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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