Tensor algebra and tensor analysis for engineers : with applications to continuum mechanics /

Tensor algebra and tensor analysis for engineers : with applications to continuum mechanics /

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Bibliographic Details
Author / Creator:	Itskov, Mikhail, author.
Edition:	Fifth edition.
Imprint:	Cham, Switzerland : Springer, [2019].
Description:	1 online resource (xix, 300 pages) : illustrations (some color).
Language:	English
Series:	Mathematical engineering, 2192-4732 Mathematical engineering,
Subject:	Tensor algebra. Engineering mathematics. Calculus of tensors. Calculus of tensors. Engineering mathematics. Tensor algebra.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11745829

Hidden Bibliographic Details
ISBN:	9783319988061 3319988069 9783319988054 3319988050 9783319988054 9783319988078 3319988077 9783030075361 3030075362
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed September 24, 2018).
Summary:	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.
Other form:	Printed edition: 9783319988054 Printed edition: 9783319988078
Standard no.:	10.1007/978-3-319-98806-1

Table of Contents:

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.