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Tensor calculus and differential geometry for engineers = with solved exercises /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Tensor calculus and differential geometry for engineers/ by Shahab Sahraee, Peter Wriggers.
Reminder of title:	with solved exercises /
Author:	Sahraee, Shahab.
other author:	Wriggers, P.
Published:	Cham :Springer Nature Switzerland : : 2023.,
Description:	xix, 674 p. :illustrations (chiefly color), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Calculus of tensors. -
Online resource:	https://doi.org/10.1007/978-3-031-33953-0
ISBN:	9783031339530

Tensor calculus and differential geometry for engineers = with solved exercises /
Sahraee, Shahab.

Tensor calculus and differential geometry for engineerswith solved exercises /[electronic resource] :by Shahab Sahraee, Peter Wriggers. - Cham :Springer Nature Switzerland :2023. - xix, 674 p. :illustrations (chiefly color), digital ;24 cm.

Algebra of Vectors -- Algebra of Tensors -- Algebra of Higher-Order Tensors -- Eigenvalues, Eigenvectors and Spectral Decompositions of Tensors -- Representation of Tensorial Variables in Curvilinear Coordinates -- Differentiation of Tensor Functions and Representation Theorems -- Gradient and Related Operators -- Integral Theorems and Differential Forms -- Differential Geometry of Surfaces and Curves.

The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning.

ISBN: 9783031339530

Standard No.: 10.1007/978-3-031-33953-0doiSubjects--Topical Terms:

598495
Calculus of tensors.

LC Class. No.: TA347.T4

Dewey Class. No.: 620.00151563

Tensor calculus and differential geometry for engineers = with solved exercises /
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245 1 0 $a Tensor calculus and differential geometry for engineers $h [electronic resource] : $b with solved exercises / $c by Shahab Sahraee, Peter Wriggers.
260 $a Cham : $c 2023. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xix, 674 p. : $b illustrations (chiefly color), digital ; $c 24 cm.
505 0 $a Algebra of Vectors -- Algebra of Tensors -- Algebra of Higher-Order Tensors -- Eigenvalues, Eigenvectors and Spectral Decompositions of Tensors -- Representation of Tensorial Variables in Curvilinear Coordinates -- Differentiation of Tensor Functions and Representation Theorems -- Gradient and Related Operators -- Integral Theorems and Differential Forms -- Differential Geometry of Surfaces and Curves.
520 $a The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning.
650 0 $a Calculus of tensors. $3 598495
650 0 $a Geometric analysis. $3 782414
650 1 4 $a Engineering Mechanics. $3 1366277
650 2 4 $a Geometry. $3 579899
650 2 4 $a Linear Algebra. $3 1207620
700 1 $a Wriggers, P. $3 1051367
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