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Tensor Algebra and Tensor Analysis for Engineers

With Applications to Continuum Mechanics

Authors: Itskov, Mikhail

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  • A compact and illustrated introduction for readers of different levels
  • Offers numerous exercises with solutions
  • Includes applications to continuum mechanics
  • Renders tensor algebra in absolute notation
  • Treats tensors on the basis of linear algebra
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eBook $44.99
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  • ISBN 978-3-540-36047-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
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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 is addressed primarily to engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises provided in the book are accompanied by solutions enabling an autonomous 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 might therefore be of high interest for PhD-students and scientists working in this area.

 

Reviews

From the reviews:

"Most books on continuum mechanics begin with a more or less lengthy introduction into this mere mathematical topic. … With the present introduction to tensors, Itskov has filled this gap. … It is written in a clear and modern style … . contains a lot of interesting representations, which will be appreciated by researchers in the field. … All in all, the book can be clearly recommended both for students and researchers in the field of continuum mechanics." (Technische Mechanik, Vol. 28 (3), 2008)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-540-36047-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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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
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-36047-6
DOI
10.1007/978-3-540-36047-6
Edition Number
1
Number of Pages
XII, 244
Topics