Tensor Algebra and Tensor Analysis for Eng...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

Covers many new aspects in the fifth edition, such as electro- and magnetoelasticity

Provides a comprehensible exposition of tensor analysis

Presents modern developments in the theory of isotropic and anisotropic tensor functions

Includes numerous exercises with solutions

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2018
Fachbereich:	Technik allgemein
Genre:	Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	320
Reihe:	Mathematical Engineering
Inhalt:	xix 300 S. 7 s/w Illustr. 13 farbige Illustr. 300 p. 20 illus. 13 illus. in color.
ISBN-13:	9783319988054
ISBN-10:	3319988050
Sprache:	Englisch
Herstellernummer:	978-3-319-98805-4
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Itskov, Mikhail
Auflage:	5th ed. 2019
Hersteller:	Springer International Publishing Springer International Publishing AG Mathematical Engineering
Maße:	241 x 160 x 23 mm
Von/Mit:	Mikhail Itskov
Erscheinungsdatum:	27.09.2018
Gewicht:	0,647 kg

preigu-id: 114096495