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This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, 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. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. 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 textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
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)
"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)