Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics (Mathematical Engineering), by Mikhail Itskov
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Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics (Mathematical Engineering), by Mikhail Itskov
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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.
Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics (Mathematical Engineering), by Mikhail Itskov- Amazon Sales Rank: #1608548 in Books
- Published on: 2015-03-26
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x .75" w x 6.14" l, 1.35 pounds
- Binding: Hardcover
- 290 pages
Review 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)
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.
About the Author Prof. Itskov studied Automobile Engineering at the Moscow State Automobile and Road Technical University, Russia. In 1990 he received his doctoral degree in mechanics, and in 2002 he obtained his habilitation degree in mechanics from the University of Bayreuth, Germany. Since 2004 he has been full professor for continuum mechanics at the RWTH Aachen University, Germany. His research interests comprise tensor analysis, non-linear continuum mechanics, in particular the application to anisotropic materials, as well as the mechanics of elastomers and soft tissues in a broad sense.
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2 of 2 people found the following review helpful. Want to master tensor analysis? There is nothing better than Itskov! By Rajeev Dubey It has been around 6 months now that I needed to strengthen my understanding of tensors to develop mathematical models for a project and I have been referring to a large number of books in the field. Many have been good, others just OK. But Itskov's "Tensor Algebra and Tensor Analysis for Engineers" has been difficult to leave since it arrived at my table. And this has been the only book to my knowledge that gives such exhaustive solutions (leaving Schaum's), an immense help for self learners!If you want to develop new formulations or if you want to develop algorithms based on existing formulations in mechanics, or for that matter any related field of physics, this book would be the right choice. By the time you finish chapter 1, you would know you have started making qualitative and quantitative sense of tensors. The book is direct and covers enough ground quickly helping and arriving at mature level of details fast. A copy of Synge and Schild's Tensor Calculus would be helpful too.
1 of 1 people found the following review helpful. Concise Elegant Simple By physics joe I really like this book for it's straightforward and concise presentation. I have found other books on tensors to be too wordy and without any real focus. This book has no flab or fat to it and it moves pretty fast. You do need a decent understanding of Vector analysis before going in and it helps to know what a tensor is. Only problem I have is I am sdudying General Relativity and I wish the book addressed tensor calculus in that direction. Because of that I have only been interested in about the first 100 pages so my review is confined that part of the book. That said this is my favorite book on tensor analysis.
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