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Alle Exemplare der Ausgabe mit dieser ISBN anzeigen:“The book under review has grown out of lecture notes for a mini-course given at a workshop on differential geometry and continuum mechanics at the International Centre for Mathematical Sciences in 2013. ... addressing researchers and engineers in particular, Epstein’s book provides a ... quick way to appreciate modern differential geometry and topology and get to their essential ideas and usefulness. Surely, Epstein manages to give the reader a motivation to delve into the deep waters of these two fields.” (Theophanes Grammenos, Mathematical Reviews, June, 2015)
“This book is based on a short course on ‘Differential Geometry and Continuum Mechanics’ given by Marcelo Epstein at the International Centre of Mathematical Sciences in Edinburgh in June 2013. The course provided a guided tour of differential geometry for researchers and graduate students in science and engineering ― many of whom had a particular interest in continuum mechanics. ... this book is a gold mine of aesthetically pleasing mathematical ideas, the presentation of which is highly inspirational.” (P. N. Ruane, MAA Reviews, December, 2014)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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Buchbeschreibung Soft Cover. Zustand: new. This item is printed on demand. Bestandsnummer des Verkäufers 9783319357140
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Buchbeschreibung Zustand: New. Bestandsnummer des Verkäufers 27614348-n
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Buchbeschreibung Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 152 pp. Englisch. Bestandsnummer des Verkäufers 9783319357140
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Buchbeschreibung Zustand: New. Bestandsnummer des Verkäufers 27614348-n
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Buchbeschreibung Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a comprehensive description of the geometric constructs that form the backbone of modern differential geometryDemonstrates the close correspondence between geometrical objects and physically meaningful counterparts in engineering and phys. Bestandsnummer des Verkäufers 385703921
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Buchbeschreibung Zustand: New. Buy with confidence! Book is in new, never-used condition 0.57. Bestandsnummer des Verkäufers bk331935714Xxvz189zvxnew
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Buchbeschreibung Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783319357140
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Buchbeschreibung Paperback. Zustand: Brand New. reprint edition. 152 pages. 9.25x6.10x0.24 inches. In Stock. Bestandsnummer des Verkäufers x-331935714X
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