Książka Differential Geometry Marcelo Epstein

Differential Geometry

Basic Notions and Physical Examples

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
507.90
Differential Geometry offers a concise introduction to some basic notions of modern differential geo...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2016
strony
139
EAN
9783319357140
ISBN
331935714X
Enbook ID
14208393
Waga
2409
Wymiary
155 x 235 x 8

Pełny opis

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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