國立虎尾科技大學 |

Tensor Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Tensor Analysis/ by Fridtjov Irgens.
作者:	Irgens, Fridtjov.
面頁冊數:	XXI, 385 p. 115 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mechanics. -
電子資源:	https://doi.org/10.1007/978-3-030-03412-2
ISBN:	9783030034122

Tensor Analysis
Irgens, Fridtjov.

Tensor Analysis[electronic resource] /by Fridtjov Irgens. - 1st ed. 2019. - XXI, 385 p. 115 illus.online resource.

Mathematical Foundation -- Dynamics -- Tensors -- Deformation Analysis -- Constitutive Equations -- General Coordinates in Euclidean Space E3 -- Elements of Continuum Mechanics in General Coordinates -- Surface Geometry. Tensors in Riemannian Space R2 -- Integral Theorems -- Tensor Analysis in n-Dimensional Space -- Appendix Problems with Solutions.

This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as a first introduction to tensors and tensor analysis. Each chapter includes a number of problems for readers to solve, and solutions are provided in an Appendix at the end of the text. Chapter 1 introduces the necessary mathematical foundations for the chapters that follow, while Chapter 2 presents the equations of motions for bodies of continuous material. Chapter 3 offers a general definition of tensors and tensor fields in three-dimensional Euclidean space. Chapter 4 discusses a new family of tensors related to the deformation of continuous material. Chapter 5 then addresses constitutive equations for elastic materials and viscous fluids, which are presented as tensor equations relating the tensor concept of stress to the tensors describing deformation, rate of deformation and rotation. Chapter 6 investigates general coordinate systems in three-dimensional Euclidean space and Chapter 7 shows how the tensor equations discussed in chapters 4 and 5 are presented in general coordinates. Chapter 8 describes surface geometry in three-dimensional Euclidean space, Chapter 9 includes the most common integral theorems in two- and three-dimensional Euclidean space applied in continuum mechanics and mathematical physics.

ISBN: 9783030034122

Standard No.: 10.1007/978-3-030-03412-2doiSubjects--Topical Terms:

527684
Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 531

Tensor Analysis
LDR:03206nam a22003855i 4500 001 1010342
003 DE-He213
005 20200704035029.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030034122 $9 978-3-030-03412-2
024 7 $a 10.1007/978-3-030-03412-2 $2 doi
035 $a 978-3-030-03412-2
050 4 $a TA349-359
072 7 $a TGMD $2 bicssc
072 7 $a SCI096000 $2 bisacsh
072 7 $a TGMD $2 thema
082 0 4 $a 531 $2 23
100 1 $a Irgens, Fridtjov. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 678942
245 1 0 $a Tensor Analysis $h [electronic resource] / $c by Fridtjov Irgens.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XXI, 385 p. 115 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Mathematical Foundation -- Dynamics -- Tensors -- Deformation Analysis -- Constitutive Equations -- General Coordinates in Euclidean Space E3 -- Elements of Continuum Mechanics in General Coordinates -- Surface Geometry. Tensors in Riemannian Space R2 -- Integral Theorems -- Tensor Analysis in n-Dimensional Space -- Appendix Problems with Solutions.
520 $a This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as a first introduction to tensors and tensor analysis. Each chapter includes a number of problems for readers to solve, and solutions are provided in an Appendix at the end of the text. Chapter 1 introduces the necessary mathematical foundations for the chapters that follow, while Chapter 2 presents the equations of motions for bodies of continuous material. Chapter 3 offers a general definition of tensors and tensor fields in three-dimensional Euclidean space. Chapter 4 discusses a new family of tensors related to the deformation of continuous material. Chapter 5 then addresses constitutive equations for elastic materials and viscous fluids, which are presented as tensor equations relating the tensor concept of stress to the tensors describing deformation, rate of deformation and rotation. Chapter 6 investigates general coordinate systems in three-dimensional Euclidean space and Chapter 7 shows how the tensor equations discussed in chapters 4 and 5 are presented in general coordinates. Chapter 8 describes surface geometry in three-dimensional Euclidean space, Chapter 9 includes the most common integral theorems in two- and three-dimensional Euclidean space applied in continuum mechanics and mathematical physics.
650 0 $a Mechanics. $3 527684
650 0 $a Mechanics, Applied. $3 596630
650 0 $a Matrix theory. $3 1023862
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Continuum physics. $3 1255031
650 1 4 $a Solid Mechanics. $3 1211586
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
650 2 4 $a Classical and Continuum Physics. $3 1141497
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030034115
776 0 8 $i Printed edition: $z 9783030034139
856 4 0 $u https://doi.org/10.1007/978-3-030-03412-2
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)