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Tensor algebra and tensor analysis f...

Itskov, Mikhail.

Tensor algebra and tensor analysis for engineerswith applications to continuum mechanics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Tensor algebra and tensor analysis for engineersby Mikhail Itskov.
Reminder of title:	with applications to continuum mechanics /
Author:	Itskov, Mikhail.
Published:	Cham :Springer International Publishing :2015.
Description:	xvii, 290 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Tensor algebra.
Online resource:	http://dx.doi.org/10.1007/978-3-319-16342-0
ISBN:	9783319163420 (electronic bk.)

Tensor algebra and tensor analysis for engineerswith 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:

348467
Tensor algebra.

LC Class. No.: QA200

Dewey Class. No.: 512.57

Tensor algebra and tensor analysis for engineerswith applications to continuum mechanics /
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245 1 0 $a Tensor algebra and tensor analysis for engineers $h [electronic resource] : $b with applications to continuum mechanics / $c by Mikhail Itskov.
250 $a 4th ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xvii, 290 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical engineering, $x 2192-4732
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.
650 0 $a Tensor algebra. $3 348467
650 0 $a Engineering mathematics. $3 182072
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650 1 4 $a Engineering. $3 210888
650 2 4 $a Continuum Mechanics and Mechanics of Materials. $3 273691
650 2 4 $a Differential Geometry. $3 273785
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
650 2 4 $a Mechanics. $3 200022
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a Mathematical engineering. $3 675334
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-16342-0
950 $a Engineering (Springer-11647)