Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics - Hardcover

Itskov, Mikhail

Hardcover

ISBN 10: 3540360468 ISBN 13: 9783540360469

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2007

Synopsis

There is a large gap between the engineering course of tensor algebra on the one side and the treatment of linear transformations within classical linear algebra on the other side. 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.

About this title

Review

From the reviews:

"Most books on continuum mechanics begin with a more or less lengthy introduction into this mere mathematical topic. a ] With the present introduction to tensors, Itskov has filled this gap. a ] It is written in a clear and modern style a ] . contains a lot of interesting representations, which will be appreciated by researchers in the field. a ] 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)

From the Back Cover

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.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 2007
• Language: English
• ISBN 10: 3540360468
• ISBN 13: 9783540360469
• Binding: Hardcover
• Number of pages: 256