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Tensor algebra and tensor analysis f...

Itskov, Mikhail.

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Tensor algebra and tensor analysis for engineers = With Applications to Continuum Mechanics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Tensor algebra and tensor analysis for engineers/ by Mikhail Itskov.
其他題名:	With Applications to Continuum Mechanics /
作者:	Itskov, Mikhail.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xix, 300 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Tensor algebra. -
電子資源:	https://doi.org/10.1007/978-3-319-98806-1
ISBN:	9783319988061

Tensor algebra and tensor analysis for engineers = With Applications to Continuum Mechanics /
Itskov, Mikhail.

Tensor algebra and tensor analysis for engineersWith Applications to Continuum Mechanics /[electronic resource] :by Mikhail Itskov. - 5th ed. - Cham :Springer International Publishing :2019. - xix, 300 p. :ill. (some col.), digital ;24 cm. - Mathematical engineering,2192-4732. - Mathematical engineering..

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.

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.

ISBN: 9783319988061

Standard No.: 10.1007/978-3-319-98806-1doiSubjects--Topical Terms:

765822
Tensor algebra.

LC Class. No.: QA200 / .I875 2019

Dewey Class. No.: 512.57

Tensor algebra and tensor analysis for engineers = With Applications to Continuum Mechanics /
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520 $a 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.
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