Mathematical Engineering

Tensor Algebra and Tensor Analysis for Engineers

With Applications to Continuum Mechanics

Authors: Itskov, Mikhail

  • Provides a comprehensible exposition of tensor analysis
  • Presents modern developments in the theory of isotropic and anisotropic tensor functions
  • Includes numerous exercises with solutions
see more benefits

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-642-30879-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA
  • ISBN 978-3-642-44818-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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 self-study. 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 PhD-students 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.

About the authors

Prof. Itskov studied Automobile Engineering at the Moscow State Automobile and Road Technical University, Russia. In 1990 he received his doctoral degree in mechanics, and in 2002 he obtained his habilitation degree in mechanics from the University of Bayreuth, Germany. Since 2004 he has been full professor for continuum mechanics at the RWTH  Aachen University, Germany. His research interests comprise tensor analysis, non-linear continuum mechanics, in particular the application to ansiotropic materials, as well as the mechanics of elastomers and soft tissues in a broad sense.

Table of contents (9 chapters)

  • Vectors and Tensors in a Finite-Dimensional Space

    Itskov, Mikhail

    Pages 1-34

  • Vector and Tensor Analysis in Euclidean Space

    Itskov, Mikhail

    Pages 35-62

  • Curves and Surfaces in Three-Dimensional Euclidean Space

    Itskov, Mikhail

    Pages 63-83

  • Eigenvalue Problem and Spectral Decomposition of Second-Order Tensors

    Itskov, Mikhail

    Pages 85-106

  • Fourth-Order Tensors

    Itskov, Mikhail

    Pages 107-119

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-642-30879-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA
  • ISBN 978-3-642-44818-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Tensor Algebra and Tensor Analysis for Engineers
Book Subtitle
With Applications to Continuum Mechanics
Authors
Series Title
Mathematical Engineering
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-30879-6
DOI
10.1007/978-3-642-30879-6
Softcover ISBN
978-3-642-44818-8
Series ISSN
2192-4732
Edition Number
3
Number of Pages
XVI, 272
Topics