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

✍ Scribed by Mikhail Itskov (auth.)

Publisher: Springer Berlin Heidelberg
Year: 2009
Tongue: English
Leaves: 263
Edition: 2nd ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

There is a large gap between engineering courses in tensor algebra on one hand, and the treatment of linear transformations within classical linear algebra on the other. This book addresses primarily engineering students with some initial knowledge of matrix algebra. Thereby, mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises provided in the book are accompanied by solutions enabling autonomous study. The last chapters deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and might therefore be of high interest for PhD-students and scientists working in this area.

✦ Table of Contents

Front Matter....Pages 1-10
Vectors and Tensors in a Finite-Dimensional Space....Pages 1-33
Vector and Tensor Analysis in Euclidean Space....Pages 35-58
Curves and Surfaces in Three-Dimensional Euclidean Space....Pages 59-79
Eigenvalue Problem and Spectral Decomposition of Second-Order Tensors....Pages 81-101
Fourth-Order Tensors....Pages 103-114
Analysis of Tensor Functions....Pages 115-144
Analytic Tensor Functions....Pages 145-164
Applications to Continuum Mechanics....Pages 165-183
Back Matter....Pages 1-62

✦ Subjects

Mechanics;Linear and Multilinear Algebras, Matrix Theory;Mathematical Methods in Physics;Continuum Mechanics and Mechanics of Materials;Computational Intelligence

📜 SIMILAR VOLUMES

Tensor Algebra and Tensor Analysis for E

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

✍ Mikhail Itskov 📂 Library 📅 2012 🏛 Springer 🌐 English

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

Tensor algebra and tensor analysis for e

📁 Tensor algebra and tensor analysis for engineers : with applications to continuum mechanics

✍ Mikhail Itskov 📂 Library 📅 2013 🏛 Springer 🌐 English

Tensor Algebra and Tensor Analysis for E

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

✍ Professor Dr.-Ing. Mikhail Itskov (auth.) 📂 Library 📅 2007 🏛 Springer Berlin Heidelberg 🌐 English

<P>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 expositio

Tensor Algebra and Tensor Analysis for E

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

✍ Mikhail Itskov 📂 Library 📅 2019 🏛 Springer International Publishing 🌐 English

<p>This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publica

Tensor algebra and tensor analysis for e

📁 Tensor algebra and tensor analysis for engineers: with applications to continuum mechanics

✍ Mikhail Itskov (auth.) 📂 Library 📅 2009 🏛 Springer Berlin Heidelberg 🌐 English

Tensor Algebra and Tensor Analysis for E

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

✍ Mikhail Itskov (auth.) 📂 Library 📅 2015 🏛 Springer International Publishing 🌐 English

<p>This is the fourth and revised edition of a well-received book that aims at bridging the gap between the engineering course of tensor algebra on the one side and the mathematical course of classical linear algebra on the other side. In accordance with the contemporary way of scientific publicatio