Overview
- Covers many new aspects in the fourth edition
- Provides a comprehensible exposition of tensor analysis
- Presents modern developments in the theory of isotropic and anisotropic tensor functions
- Includes numerous exercises with solutions
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematical Engineering (MATHENGIN)
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Table of contents(9 chapters)
Keywords
- Christoffel symbols
- Coordinate transformation
- Covariant and contravariant derivatives
- Derivative of the stretch and rotation tensor
- Generalized Rivlin’s Identities
- Polar decomposition of the deformation gradient
- Spectral decomposition of second-order tensors
- Tensor algebra
- Tensor-valued functions
- Tensors in finite-dimensional space
- matrix theory
About this book
Authors and Affiliations
-
RWTH Aachen University, Department of Continuum Mechanics, Kackertstr.9, 52072 Aachen, Germany
Mikhail Itskov
About the author
Bibliographic Information
Book Title: Tensor Algebra and Tensor Analysis for Engineers
Book Subtitle: With Applications to Continuum Mechanics
Authors: Mikhail Itskov
Series Title: Mathematical Engineering
DOI: https://doi.org/10.1007/978-3-319-16342-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-37443-7Published: 06 October 2016
eBook ISBN: 978-3-319-16342-0Published: 25 March 2015
Series ISSN: 2192-4732
Series E-ISSN: 2192-4740
Edition Number: 4
Number of Pages: XVII, 290
Number of Illustrations: 7 b/w illustrations, 13 illustrations in colour
Topics: Solid Mechanics, Differential Geometry, Linear and Multilinear Algebras, Matrix Theory, Classical Mechanics