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Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers [electronic resource] / by Hung Nguyen-Sch�afer, Jan-Philip Schmidt.

By: Nguyen-Sch�afer, Hung [author.].
Contributor(s): Schmidt, Jan-Philip [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Mathematical Engineering: 21Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014Description: XIII, 241 p. 50 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783662434444.Subject(s): Engineering | Computer mathematics | Physics | Applied mathematics | Engineering mathematics | Continuum mechanics | Engineering | Appl.Mathematics/Computational Methods of Engineering | Mathematical Methods in Physics | Computational Science and Engineering | Continuum Mechanics and Mechanics of MaterialsAdditional physical formats: Printed edition:: No titleDDC classification: 519 Online resources: Click here to access online
Contents:
General Basis and Bra-Ket Notation -- Tensor Analysis -- Elementary Differential Geometry -- Applications of Tensors and Differential Geometry -- Further Reading -- Appendices.
In: Springer eBooksSummary: Tensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics, and cybernetics. This book comprehensively presents topics, such as bra-ket notation, tensor analysis, and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. 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 and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists, and practicing engineers.
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General Basis and Bra-Ket Notation -- Tensor Analysis -- Elementary Differential Geometry -- Applications of Tensors and Differential Geometry -- Further Reading -- Appendices.

Tensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics, and cybernetics. This book comprehensively presents topics, such as bra-ket notation, tensor analysis, and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. 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 and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists, and practicing engineers.

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