國立高雄大學圖資館 |

Language: English

Back

Tensor analysis and elementary diffe...

Nguyen-Schafer, Hung.

Tensor analysis and elementary differential geometry for physicists and engineers

Record Type:	Electronic resources : Monograph/item
Title/Author:	Tensor analysis and elementary differential geometry for physicists and engineersby Hung Nguyen-Schafer, Jan-Philip Schmidt.
Author:	Nguyen-Schafer, Hung.
other author:	Schmidt, Jan-Philip.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg :2017.
Description:	xvii, 376 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Calculus of tensors.
Online resource:	http://dx.doi.org/10.1007/978-3-662-48497-5
ISBN:	9783662484975$q(electronic bk.)

Tensor analysis and elementary differential geometry for physicists and engineers
Nguyen-Schafer, Hung.

Tensor analysis and elementary differential geometry for physicists and engineers[electronic resource] /by Hung Nguyen-Schafer, Jan-Philip Schmidt. - 2nd ed. - Berlin, Heidelberg :Springer Berlin Heidelberg :2017. - xvii, 376 p. :ill., digital ;24 cm. - Mathematical engineering,2192-4732. - Mathematical engineering..

General Basis and Bra-Ket Notation -- Tensor Analysis -- Elementary Differential Geometry -- Differential Forms -- Applications of Tensors and Differential Geometry -- Tensors and Bra-Ket Notation in Quantum Mechanics -- Appendices.

This book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors, differential geometry, and differential forms; and to apply them to the physical and engineering world. Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics (CFD), and continuum mechanics. The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers.

ISBN: 9783662484975$q(electronic bk.)

Standard No.: 10.1007/978-3-662-48497-5doiSubjects--Topical Terms:

210256
Calculus of tensors.

LC Class. No.: QA433

Dewey Class. No.: 515.63

Tensor analysis and elementary differential geometry for physicists and engineers
LDR:02636nmm a2200361 a 4500 001 504743
003 DE-He213
005 20160816170505.0
006 m d
007 cr nn 008maaau
008 171030s2017 gw s 0 eng d
020 $a 9783662484975$q(electronic bk.)
020 $a 9783662484951$q(paper)
024 7 $a 10.1007/978-3-662-48497-5 $2 doi
035 $a 978-3-662-48497-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA433
072 7 $a TGMF $2 bicssc
072 7 $a TGMF1 $2 bicssc
072 7 $a TEC009070 $2 bisacsh
072 7 $a SCI085000 $2 bisacsh
082 0 4 $a 515.63 $2 23
090 $a QA433 $b .N576 2017
100 1 $a Nguyen-Schafer, Hung. $3 561162
245 1 0 $a Tensor analysis and elementary differential geometry for physicists and engineers $h [electronic resource] / $c by Hung Nguyen-Schafer, Jan-Philip Schmidt.
250 $a 2nd ed.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2017.
300 $a xvii, 376 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical engineering, $x 2192-4732
505 0 $a General Basis and Bra-Ket Notation -- Tensor Analysis -- Elementary Differential Geometry -- Differential Forms -- Applications of Tensors and Differential Geometry -- Tensors and Bra-Ket Notation in Quantum Mechanics -- Appendices.
520 $a This book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors, differential geometry, and differential forms; and to apply them to the physical and engineering world. Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics (CFD), and continuum mechanics. The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers.
650 0 $a Calculus of tensors. $3 210256
650 0 $a Geometry, Differential. $3 182610
650 1 4 $a Engineering. $3 210888
650 2 4 $a Engineering Fluid Dynamics. $3 273893
650 2 4 $a Computational Science and Engineering. $3 274685
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Differential Geometry. $3 273785
700 1 $a Schmidt, Jan-Philip. $3 683867
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Mathematical engineering. $3 675334
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-48497-5
950 $a Engineering (Springer-11647)