Kniha Differential Geometry Marcelo Epstein

Differential Geometry

Basic Notions and Physical Examples

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 742
Differential Geometry offers a concise introduction to some basic notions of modern differential geo...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2014
Stránek
139
EAN
9783319069197
ISBN
3319069195
Enbook ID
02644842
Hmotnost
376
Rozměry
242 x 163 x 14

Kompletní popis

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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