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Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers

✍ Scribed by Hung Nguyen-SchÀfer, Jan-Philip Schmidt (auth.)

Publisher
Springer-Verlag Berlin Heidelberg
Year
2014
Tongue
English
Leaves
250
Series
Mathematical Engineering 21
Edition
1
Category
Library
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✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xiii
General Basis and Bra–Ket Notation....Pages 1-34
Tensor Analysis....Pages 35-99
Elementary Differential Geometry....Pages 101-142
Applications of Tensors and Differential Geometry....Pages 143-196
Back Matter....Pages 197-241

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering; Mathematical Methods in Physics; Computational Science and Engineering; Continuum Mechanics and Mechanics of Materials

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