Overview
- Covers many new aspects in the fifth edition, such as electro- and magnetoelasticity
- Provides a comprehensible exposition of tensor analysis
- Presents modern developments in the theory of isotropic and anisotropic tensor functions
- Includes numerous exercises with solutions
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
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/10.1007/978-3-319-98806-1
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-319-98805-4Published: 27 September 2018
Softcover ISBN: 978-3-030-07536-1Published: 26 December 2018
eBook ISBN: 978-3-319-98806-1Published: 15 September 2018
Series ISSN: 2192-4732
Series E-ISSN: 2192-4740
Edition Number: 5
Number of Pages: XIX, 300
Number of Illustrations: 7 b/w illustrations, 13 illustrations in colour
Topics: Solid Mechanics, Differential Geometry, Linear and Multilinear Algebras, Matrix Theory, Classical Mechanics