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Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics

There is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book p...

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Detalles Bibliográficos
Autor principal: Itskov, Mikhail
Lenguaje:eng
Publicado: Springer 2013
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-30879-6
http://cds.cern.ch/record/1500322
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author Itskov, Mikhail
author_facet Itskov, Mikhail
author_sort Itskov, Mikhail
collection CERN
description There is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book primarily addresses engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises are provided in the book and are accompanied by solutions, enabling self-study. The last chapters of the book deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and are therefore of high interest for PhD-students and scientists working in this area. This third edition is completed by a number of additional figures, examples and exercises. The text and formulae have been revised and improved where necessary.
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spelling cern-15003222021-04-22T00:01:26Zdoi:10.1007/978-3-642-30879-6http://cds.cern.ch/record/1500322engItskov, MikhailTensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum MechanicsEngineeringThere is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book primarily addresses engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises are provided in the book and are accompanied by solutions, enabling self-study. The last chapters of the book deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and are therefore of high interest for PhD-students and scientists working in this area. This third edition is completed by a number of additional figures, examples and exercises. The text and formulae have been revised and improved where necessary.Springeroai:cds.cern.ch:15003222013
spellingShingle Engineering
Itskov, Mikhail
Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
title Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
title_full Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
title_fullStr Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
title_full_unstemmed Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
title_short Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
title_sort tensor algebra and tensor analysis for engineers: with applications to continuum mechanics
topic Engineering
url https://dx.doi.org/10.1007/978-3-642-30879-6
http://cds.cern.ch/record/1500322
work_keys_str_mv AT itskovmikhail tensoralgebraandtensoranalysisforengineerswithapplicationstocontinuummechanics