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Title: Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers
Authors: Nguyen-Sch fer, Hung
Schmidt, Jan-Philip
Keywords: Engineering;Computer Science;Mathematical physics;Engineering mathematics;Materials;Engineering;Appl Mathematics/Computational Methods of Engineering;Mathematical Methods in Physics;Computational Science and Engineering;Continuum Mechanics and Mechanics of Materials;519 23;TA640-643
Issue Date: 2014
Publisher: Springer Berlin Heidelberg;Imprint Springer,
place: Berlin, Heidelberg
Series/Report no.: Mathematical Engineering,;2192-4732 ;;21.;Mathematical Engineering,;2192-4732 ;;21.
Abstract: 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.
Description: Printed edition:;9783662434437.
Table Of Contents: General Basis and Bra-Ket Notation -- Tensor Analysis -- Elementary Differential Geometry -- Applications of Tensors and Differential Geometry -- Further Reading -- Appendices.
ISBN: 9783662434444
9783662434437 (print)
Format: [electronic resource] /
Type Of Material: Book
Appears in Collections:Mathematics

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