國立虎尾科技大學 |

Tensor analysis and elementary differential geometry for physicists and engineers

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Tensor analysis and elementary differential geometry for physicists and engineers/ by Hung Nguyen-Schafer, Jan-Philip Schmidt.
作者:	Nguyen-Schafer, Hung.
其他作者:	Schmidt, Jan-Philip.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2017.,
面頁冊數:	xvii, 376 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Calculus of tensors. -
電子資源:	http://dx.doi.org/10.1007/978-3-662-48497-5
ISBN:	9783662484975

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

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

598495
Calculus of tensors.

LC Class. No.: QA433

Dewey Class. No.: 515.63

Tensor analysis and elementary differential geometry for physicists and engineers
LDR:02636nam a2200361 a 4500 001 956030
003 DE-He213
005 20160816170505.0
006 m d
007 cr nn 008maaau
008 201117s2017 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 891387
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 : $c 2017. $b Springer Berlin Heidelberg : $b Imprint: Springer,
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 598495
650 0 $a Geometry, Differential. $3 527830
650 1 4 $a Engineering. $3 561152
650 2 4 $a Engineering Fluid Dynamics. $3 670525
650 2 4 $a Computational Science and Engineering. $3 670319
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Differential Geometry. $3 671118
700 1 $a Schmidt, Jan-Philip. $3 1246871
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Mathematical engineering. $3 779651
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-48497-5
950 $a Engineering (Springer-11647)