Differential Geometry : Basic Notions and Physical Examples
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The work Differential Geometry : Basic Notions and Physical Examples represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Differential Geometry : Basic Notions and Physical Examples
Resource Information
The work Differential Geometry : Basic Notions and Physical Examples represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Differential Geometry : Basic Notions and Physical Examples
 Title remainder
 Basic Notions and Physical Examples
 Statement of responsibility
 by Marcelo Epstein
 Language

 eng
 eng
 Summary
 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 spacetime, 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
 Dewey number
 516.36
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 n9yH78LkY60
 Language note
 English
 LC call number
 QA641670
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Mathematical Engineering,
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