Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers
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Beschreibung
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.
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.
The topics of tensors and differential geometry are presented in a comprehensive and approachable way With worked-out examples and concrete calculations The reader is carefully guided to advanced topics Includes supplementary material: sn.pub/extras
Autor*in
Hung Nguyen-Schäfer
Themen in »Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers«
Bra and Ket Notation Computational Fluid Dynamics (CFD) Differential Geometry with a Moving Surface Euclidean and Riemannian Manifolds Lie Derivatives Maxwell’s Equations in Relativity Field Theories Navier-Stokes Equations Surface Curvatures Tensor Analysis Transformations of Curvilinear Coordinates
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“The book begins by introducing the concepts general basis and tensor types for curvilinear coordinates … . The mathematics is presented with clarity and precision. In particular, I like the way in which concepts are illustrated in the context of low dimensional cases, and the narrative is interspersed with many informative illustrations. In other words, it’s the sort of book that attracts one’s attention on a first perusal.” (Peter Ruane, MAA Reviews, April, 2015)
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