Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

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.

Author(s): Hung Nguyen-Schäfer, Jan-Philip Schmidt (auth.)
Series: Mathematical Engineering 21
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2014

Language: English
Pages: 241
Tags: Appl.Mathematics/Computational Methods of Engineering; Mathematical Methods in Physics; Computational Science and Engineering; Continuum Mechanics and Mechanics of Materials

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