Description 
1 online resource (xix, 300 pages) : illustrations (some color) 
Series 
Mathematical engineering, 21924732 

Mathematical engineering, 21924732

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 fifth and revised edition of a wellreceived 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 publication, 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. As such, this new edition also discusses such modern topics of solid mechanics as electro and magnetoelasticity. 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 textbook addresses graduate students as well as scientists working in this field and in particular dealing with multiphysical problems. 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 
Online resource; title from PDF title page (SpringerLink, viewed September 24, 2018) 
Subject 
Calculus of tensors


Engineering mathematics


Tensor algebra


Algebra.


Calculus of tensors.


Classical mechanics.


Differential & Riemannian geometry.


Engineering mathematics.


Mathematics  Algebra  Linear.


Mathematics  Geometry  Differential.


Mechanical engineering & materials.


Science  Mechanics  General.


Technology & Engineering  Mechanical.


Tensor algebra.

Form 
Electronic book

ISBN 
3319988050 

3319988069 

3319988077 

9783319988054 

9783319988061 

9783319988078 
