Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers

ISBN-10: 3662484978
ISBN-13: 9783662484975
Category: Technology & Engineering
Pages: 376
Language: English
Published: 2016-08-16
Publisher: Springer
Authors: Hung Nguyen-Schäfer, Jan-Philip Schmidt

Description

This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world. The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: • General Basis and Bra-Ket Notation • Tensor Analysis • Elementary Differential Geometry • Differential Forms • Applications of Tensors and Differential Geometry • Tensors and Bra-Ket Notation in Quantum Mechanics The text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.

Get the book

Similar books

Animal Sciences: The Biology, Care, and Production of Domestic Animals, Fourth Edition
By John R. Campbell, M. Douglas Kenealy, Karen L. Campbell
Timberlake claimed in 1980 that a fundamental problem with Singer's work is the lack of an adequate definition of suffering ...
Resilient Agriculture: Cultivating Food Systems for a Changing Climate
By Laura Lengnick
3. D. Layne. 2013. Tree Fruit: Protecting Your Investment. American/Western Fruit Grower, September/October. 4. R. Snyder and J. Melu-Abreu. 2005. Frost ...
Biodesign: The Process of Innovating Medical Technologies
By Stefanos Zenios, Josh Makower, Paul Yock
At that time, these were in the low $10s of millions. ... be a good partner going forward, even though it takes longer to get the deal done," offered Chess.
Advanced Signal Processing: A Concise Guide
By Amir-Homayoon Najmi, Todd Moon
[ 59 ] S. Kotz , T. J. Kozubowski , and K. Podgorski , The Laplace ... valued signal processing : The proper way to deal with impropriety , ” IEEE Trans .
Resources for Technical Communication
By Pearson Education, Pearson Education Staff, David P Pearson Education
Some documents are annotated; some are left without annotations to provide more flexibility for instructors. This booklet can be packaged at no additional cost with any Longman title in technical communication.
Chemistry: An Introduction to General, Organic, and Biological Chemistry; Chemistry Study Pack Version 2.0 CD-ROM; The Chemistry of Life CD-ROM;...
By Karen C. Timberlake
Chemistry: An Introduction to General, Organic, and Biological Chemistry; Chemistry Study Pack Version 2.0 CD-ROM; The Chemistry of Life CD-ROM;...
Poultry Science: Fifth Edition
By Colin G. Scanes, Karen D. Christensen
The emission rates for ammonia (Casey et al., 2006): • Layers: 116 g NH3 per AU (AU or animal unit or 500 kg). • Broilers: 135 g NH3 per AU (AU or animal unit or 500 kg). Emission rates in different reports vary from less than either 10 ...
Solid State Materials Chemistry
By Patrick M. Woodward, Pavel Karen, John S. O. Evans
[45] B.F. Hoskins, R. Robson, “Design and construction of a new class of scaffolding-like materials comprising infinite polymeric frameworks of 3D-linked molecular rods. A reappraisal of the zinc cyanide and cadmium cyanide structures ...
Abbreviations Dictionary
By Dean A. Stahl, Karen Landen
... Tallest Mountain Mount Robson—12,972 feet or 3,954 meters—in the Canadian Rockies Canada's Westernmost City Dawson, Yukon Canada's Westernmost Point in Yukon Territory just east of Alaska's Demarcation Point Canary Islands' Largest ...
Agriculture: A Very Short Introduction
By Paul Brassley, Richard Soffe
ACCOUNTING Christopher Nobes ADVERTISING Winston Fletcher AFRICAN AMERICAN RELIGION Eddie S. Glaude Jr AFRICAN HISTORY ... Hugh Bowden ALGEBRA Peter M. Higgins AMERICAN HISTORY Paul S. Boyer AMERICAN IMMIGRATION David A. Gerber AMERICAN ...