Description 
1 online resource 
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  Solutions 
Summary 
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 primarily addresses engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises are provided in the book and are accompanied by solutions, enabling selfstudy. The last chapters of the book deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and are therefore of high interest for PhDstudents and scientists working in this area. This third edition is completed by a number of additional figures, examples and exercises. The text and formulae have been revised and improved where necessary 
Analysis 
Engineering 

Matrix theory 

Global differential geometry 

Mechanics 

Continuum Mechanics and Mechanics of Materials 

Differential Geometry 

Linear and Multilinear Algebras, Matrix Theory 
Bibliography 
Includes bibliographical references and index 
Subject 
Tensor algebra.


Calculus of tensors.


Continuum mechanics.

Form 
Electronic book

LC no. 
2012945179 
ISBN 
3642308783 

3642308791 (electronic bk.) 

9783642308789 

9783642308796 (electronic bk.) 
