Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers

  • Hung Nguyen-Schäfer
  • Jan-Philip Schmidt

Part of the Mathematical Engineering book series (MATHENGIN, volume 21)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Hung Nguyen-Schäfer, Jan-Philip Schmidt
    Pages 1-34
  3. Hung Nguyen-Schäfer, Jan-Philip Schmidt
    Pages 35-99
  4. Hung Nguyen-Schäfer, Jan-Philip Schmidt
    Pages 101-142
  5. Hung Nguyen-Schäfer, Jan-Philip Schmidt
    Pages 143-196
  6. Back Matter
    Pages 197-241

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Hung Nguyen-Schäfer
    • 1
  • Jan-Philip Schmidt
    • 2
  1. 1.EM-motive GmbH (A Joint Company of Daimler and Bosch)LudwigsburgGermany
  2. 2.Interdisciplinary Center for ScientificUniversity of HeidelbergHeidelbergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-43444-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-662-43443-7
  • Online ISBN 978-3-662-43444-4
  • Series Print ISSN 2192-4732
  • Series Online ISSN 2192-4740
  • About this book