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101 0 $aeng
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182   $cc$2rdamedia
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200 10$aTensor Analysis and Elementary Differential Geometry for Physicists and Engineers /$fby Hung Nguyen-Schäfer, Jan-Philip Schmidt
205   $a2nd ed. 2017.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2017.
215   $a1 online resource (XVII, 376 p. 73 illus.) 
225 1 $aMathematical Engineering,$x2192-4732
311   $a3-662-48495-1 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $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.
330   $aThis book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors, differential geometry, and differential forms; and to apply them to the physical and engineering world. Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics (CFD), and continuum mechanics. The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers. .
410  0$aMathematical Engineering,$x2192-4732
606   $aEngineering mathematics
606   $aDifferential geometry
606   $aPhysics
606   $aComputer mathematics
606   $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026
615  0$aEngineering mathematics.
615  0$aDifferential geometry.
615  0$aPhysics.
615  0$aComputer mathematics.
615 14$aEngineering Mathematics.
615 24$aDifferential Geometry.
615 24$aMathematical Methods in Physics.
615 24$aComputational Science and Engineering.
676   $a515.63
700   $aNguyen-Schäfer$b Hung$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720677
702   $aSchmidt$b Jan-Philip$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254350603321
996   $aTensor Analysis and Elementary Differential Geometry for Physicists and Engineers$92150003
997   $aUNINA