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Tensor Algebra and Tensor Analysis for Engineers

With Applications to Continuum Mechanics

Language EnglishEnglish
Book Hardback
Book Tensor Algebra and Tensor Analysis for Engineers Mikhail Itskov
Libristo code: 48339056
Publishers Springer, Berlin, November 2024
This is the sixth and revised edition of a well-received textbook that aims at bridging the gap betw... Full description
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This is the sixth 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. In particular, the book discusses such multi-physical topics of solid mechanics as electro- and magnetoelasticity. In addition, advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics are included. This new edition also focuses on numerical aspects of tensor calculus and shows how modern methods of machine learning can be applied to the calculation of tensor functions. Hence, these textbook addresses graduate students as well as scientists working in this field and in particular dealing with interdisciplinary problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.

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About the book

Full name Tensor Algebra and Tensor Analysis for Engineers
Language English
Binding Book - Hardback
Date of issue 2025
Number of pages 335
EAN 9783031923562
Libristo code 48339056
Publishers Springer, Berlin
Weight 692
Dimensions 155 x 235
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