國立高雄大學圖資館 |

Language: English

Back

Tensor analysis for engineers and ph...

Schobeiri, Meinhard.

Tensor analysis for engineers and physicists - with application to continuum mechanics, turbulence, and Einstein's special and general theory of relativity

Record Type:	Electronic resources : Monograph/item
Title/Author:	Tensor analysis for engineers and physicists - with application to continuum mechanics, turbulence, and Einstein's special and general theory of relativityby Meinhard T. Schobeiri.
Author:	Schobeiri, Meinhard.
Published:	Cham :Springer International Publishing :2021.
Description:	xix, 241 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Calculus of tensors.
Online resource:	https://doi.org/10.1007/978-3-030-35736-8
ISBN:	9783030357368$q(electronic bk.)

Tensor analysis for engineers and physicists - with application to continuum mechanics, turbulence, and Einstein's special and general theory of relativity
Schobeiri, Meinhard.

Tensor analysis for engineers and physicists - with application to continuum mechanics, turbulence, and Einstein's special and general theory of relativity[electronic resource] /by Meinhard T. Schobeiri. - Cham :Springer International Publishing :2021. - xix, 241 p. :ill. (some col.), digital ;24 cm.

Vectors and Tensors -- Transformation of Tensors -- Differential Operators in Continuum Mechanics -- Tensors and Kinematics -- Differential Balances in Continuum Mechanics -- Tensor Operations in Orthogonal Curvilinear -- Tensor Application, Navier-Stokes Equation -- Curves, Curvature, Surfaces, Geodesics -- Turbulent Flow, Modeling -- Special Theory of Relativity -- Tensors In General Theory of Relativity.

This book unies the common tensor analytical aspects in engineering and physics. Using tensor analysis enables the reader to understand complex physical phenomena from the basic principles in continuum mechanics including the turbulence, its correlations and modeling to the complex Einstein' tensor equation. The development of General Theory of Relativity and the introduction of spacetime geometry would not have been possible without the use of tensor analysis. This textbook is primarily aimed at students of mechanical, electrical, aerospace, civil and other engineering disciplines as well as of theoretical physics. It also covers the special needs of practicing professionals who perform CFD-simulation on a routine basis and would like to know more about the underlying physics of the commercial codes they use. Furthermore, it is suitable for self-study, provided that the reader has a sufficient knowledge of differential and integral calculus. Particular attention was paid to selecting the application examples. The transformation of Cartesian coordinate system into curvilinear one and the subsequent applications to conservation laws of continuum mechanics and the turbulence physics prepares the reader for fully understanding the Einstein tensor equations, which exhibits one of the most complex tensor equation in theoretical physics.

ISBN: 9783030357368$q(electronic bk.)

Standard No.: 10.1007/978-3-030-35736-8doiSubjects--Topical Terms:

210256
Calculus of tensors.

LC Class. No.: QC20.7.C28 / S35 2021

Dewey Class. No.: 515.63

Tensor analysis for engineers and physicists - with application to continuum mechanics, turbulence, and Einstein's special and general theory of relativity
LDR:02895nmm a2200337 a 4500 001 612458
003 DE-He213
005 20211213150327.0
006 m d
007 cr nn 008maaau
008 220526s2021 sz s 0 eng d
020 $a 9783030357368$q(electronic bk.)
020 $a 9783030357351$q(paper)
024 7 $a 10.1007/978-3-030-35736-8 $2 doi
035 $a 978-3-030-35736-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20.7.C28 $b S35 2021
072 7 $a PHDF $2 bicssc
072 7 $a SCI085000 $2 bisacsh
072 7 $a PHDF $2 thema
072 7 $a PHDF $2 thema
082 0 4 $a 515.63 $2 23
090 $a QC20.7.C28 $b S363 2021
100 1 $a Schobeiri, Meinhard. $3 256252
245 1 0 $a Tensor analysis for engineers and physicists - with application to continuum mechanics, turbulence, and Einstein's special and general theory of relativity $h [electronic resource] / $c by Meinhard T. Schobeiri.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xix, 241 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Vectors and Tensors -- Transformation of Tensors -- Differential Operators in Continuum Mechanics -- Tensors and Kinematics -- Differential Balances in Continuum Mechanics -- Tensor Operations in Orthogonal Curvilinear -- Tensor Application, Navier-Stokes Equation -- Curves, Curvature, Surfaces, Geodesics -- Turbulent Flow, Modeling -- Special Theory of Relativity -- Tensors In General Theory of Relativity.
520 $a This book unies the common tensor analytical aspects in engineering and physics. Using tensor analysis enables the reader to understand complex physical phenomena from the basic principles in continuum mechanics including the turbulence, its correlations and modeling to the complex Einstein' tensor equation. The development of General Theory of Relativity and the introduction of spacetime geometry would not have been possible without the use of tensor analysis. This textbook is primarily aimed at students of mechanical, electrical, aerospace, civil and other engineering disciplines as well as of theoretical physics. It also covers the special needs of practicing professionals who perform CFD-simulation on a routine basis and would like to know more about the underlying physics of the commercial codes they use. Furthermore, it is suitable for self-study, provided that the reader has a sufficient knowledge of differential and integral calculus. Particular attention was paid to selecting the application examples. The transformation of Cartesian coordinate system into curvilinear one and the subsequent applications to conservation laws of continuum mechanics and the turbulence physics prepares the reader for fully understanding the Einstein tensor equations, which exhibits one of the most complex tensor equation in theoretical physics.
650 0 $a Calculus of tensors. $3 210256
650 1 4 $a Fluid- and Aerodynamics. $3 376797
650 2 4 $a Engineering Fluid Dynamics. $3 273893
650 2 4 $a Engineering Mathematics. $3 806481
650 2 4 $a Complexity. $3 274400
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-35736-8
950 $a Physics and Astronomy (SpringerNature-11651)