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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 : : 2015.,
面頁冊數:	xvii, 290 p. :ill., 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:	http://dx.doi.org/10.1007/978-3-319-16342-0
ISBN:	9783319163420 (electronic bk.)

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. - 4th ed. - Cham :Springer International Publishing :2015. - xvii, 290 p. :ill., 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 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.

ISBN: 9783319163420 (electronic bk.)

Standard No.: 10.1007/978-3-319-16342-0doiSubjects--Topical Terms:

765822
Tensor algebra.

LC Class. No.: QA200

Dewey Class. No.: 512.57

Tensor algebra and tensor analysis for engineers = with applications to continuum mechanics /
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505 0 $a 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.
520 $a 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.
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