000 03706nam a22005775i 4500
001 978-3-662-48497-5
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005 20220801221906.0
007 cr nn 008mamaa
008 160816s2017 gw | s |||| 0|eng d
020 _a9783662484975
_9978-3-662-48497-5
024 7 _a10.1007/978-3-662-48497-5
_2doi
050 4 _aTA329-348
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
082 0 4 _a620.00151
_223
100 1 _aNguyen-Schäfer, Hung.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_958566
245 1 0 _aTensor Analysis and Elementary Differential Geometry for Physicists and Engineers
_h[electronic resource] /
_cby Hung Nguyen-Schäfer, Jan-Philip Schmidt.
250 _a2nd ed. 2017.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2017.
300 _aXVII, 376 p. 73 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Engineering,
_x2192-4740
505 0 _aGeneral 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 _aThis 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 _aEngineering mathematics.
_93254
650 0 _aGeometry, Differential.
_958567
650 0 _aMathematical physics.
_911013
650 0 _aMathematics—Data processing.
_931594
650 1 4 _aEngineering Mathematics.
_93254
650 2 4 _aDifferential Geometry.
_932082
650 2 4 _aMathematical Methods in Physics.
_931865
650 2 4 _aComputational Science and Engineering.
_958568
700 1 _aSchmidt, Jan-Philip.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_958569
710 2 _aSpringerLink (Online service)
_958570
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783662484951
776 0 8 _iPrinted edition:
_z9783662484968
776 0 8 _iPrinted edition:
_z9783662569290
830 0 _aMathematical Engineering,
_x2192-4740
_958571
856 4 0 _uhttps://doi.org/10.1007/978-3-662-48497-5
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c80168
_d80168