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Tensor analysis and elementary diffe...

Nguyen-Schafer, Hung.

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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 engineers/ by 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.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Calculus of tensors. -
Online resource:	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:

533863
Calculus of tensors.

LC Class. No.: QA433

Dewey Class. No.: 515.63

Tensor analysis and elementary differential geometry for physicists and engineers
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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.
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