Description 
1 online resource : illustrations 
Series 
Mathematical engineering, 21924732 

Mathematical engineering.

Contents 
Vectors and Tensors in a FiniteDimensional Space  Vector and Tensor Analysis in Euclidean Space  Curves and Surfaces in ThreeDimensional Euclidean Space  Eigenvalue Problem and Spectral Decomposition of SecondOrder Tensors  FourthOrder Tensors  Analysis of Tensor Functions  Analytic Tensor Functions  Applications to Continuum Mechanics 
Summary 
This is the fourth and revised edition of a wellreceived 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 publications, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this monograph addresses graduate students as well as scientists working in this field. In each chapter numerous exercises are included, allowing for selfstudy and intense practice. Solutions to the exercises are also provided 
Bibliography 
Includes bibliographical references and index 
Notes 
English 

Online resource; title from PDF title page (SpringerLink, viewed March 31, 2015) 
Subject 
Tensor algebra.


Engineering mathematics.


Calculus of tensors.

Form 
Electronic book

ISBN 
3319163418 (print) 

3319163426 (electronic bk.) 

9783319163413 (print) 

9783319163420 (electronic bk.) 
