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Tensor calculus and differential geo...

Sahraee, Shahab.

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

Record Type:	Electronic resources : 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.
[NT 15003449]:	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.
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:

533863
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 : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2023.
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 533863
650 0 $a Geometric analysis. $3 1439441
650 1 4 $a Engineering Mechanics. $3 3538834
650 2 4 $a Geometry. $3 517251
650 2 4 $a Linear Algebra. $3 3338825
700 1 $a Wriggers, P. $3 3598592
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-33953-0
950 $a Engineering (SpringerNature-11647)