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

Itskov, Mikhail

ISBN 10: 3642101038 / ISBN 13: 9783642101038

Published by Springer, 2010

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Bibliographic Details

• Title: Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
• Publisher: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 3642101038
• ISBN 13: 9783642101038
• Binding: Soft cover
• Edition: 2nd Edition
• Condition: New

About this title

Synopsis

There is a gap between engineering courses in tensor algebra, and the treatment of linear transformations within classical linear algebra. This book addresses primarily engineering students with some initial knowledge of matrix algebra. Thereby, mathematical formalism is applied as absolutely necessary. The many exercises provided include solutions, enabling autonomous study. The last chapters address modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and might therefore interest PhD-students and scientists working in this area.

In recent decades, the absolute notation for tensors has become widely accepted and is now state-of-the-art for publications in solid and structural mechanics. This is opposed to a majority of books on tensor calculus referring to index notation. The latter one complicates the understanding of the matter especially for readers with initial knowledge. This is a modern textbook on tensor calculus for engineers in line with contemporary scientific publications.

From the Back Cover

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.

This second edition is completed by a number of additional examples and exercises. The text and formulae are thoroughly revised and improved where necessary.