Mathematical Engineering

Tensor Algebra and Tensor Analysis for Engineers

With Applications to Continuum Mechanics

Authors: Itskov, Mikhail

  • Covers many new aspects in the fourth edition
  • Provides a comprehensible exposition of tensor analysis
  • Presents modern developments in the theory of isotropic and anisotropic tensor functions
  • Includes numerous exercises with solutions
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Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-16342-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA
  • ISBN 978-3-319-16341-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 18, 2016
  • ISBN 978-3-319-37443-7
  • Free shipping for individuals worldwide
About this Textbook

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 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 self-study and intense practice. Solutions to the exercises are also provided.

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 anisotropic materials, as well as the mechanics of elastomers and soft tissues in a broad sense.

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Table of contents (9 chapters)

  • Vectors and Tensors in a Finite-Dimensional Space

    Itskov, Mikhail

    Pages 1-36

  • Vector and Tensor Analysis in Euclidean Space

    Itskov, Mikhail

    Pages 37-67

  • Curves and Surfaces in Three-Dimensional Euclidean Space

    Itskov, Mikhail

    Pages 69-96

  • Eigenvalue Problem and Spectral Decomposition of Second-Order Tensors

    Itskov, Mikhail

    Pages 97-119

  • Fourth-Order Tensors

    Itskov, Mikhail

    Pages 121-133

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-16342-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA
  • ISBN 978-3-319-16341-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 18, 2016
  • ISBN 978-3-319-37443-7
  • Free shipping for individuals worldwide
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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
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-16342-0
DOI
10.1007/978-3-319-16342-0
Hardcover ISBN
978-3-319-16341-3
Softcover ISBN
978-3-319-37443-7
Series ISSN
2192-4732
Edition Number
4
Number of Pages
XVII, 290
Number of Illustrations and Tables
7 b/w illustrations, 13 illustrations in colour
Topics