Mikhail Itskov

Tensor Algebra and Tensor Analysis for Engineers (eBook, PDF)

With Applications to Continuum Mechanics

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 247
• Erscheinungstermin: 30. April 2009
• Englisch
• ISBN-13: 9783540939078
• Artikelnr.: 37368766

Inhaltsangabe

Vectors and Tensors in a Finite-Dimensional Space.- Vector and Tensor Analysis in Euclidean Space.- Curves and Surfaces in Three-Dimensional Euclidean Space.- Eigenvalue Problem and Spectral Decomposition of Second-Order Tensors.- Fourth-Order Tensors.- Analysis of Tensor Functions.- Analytic Tensor Functions.- Applications to Continuum Mechanics.

Rezensionen

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)