Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers

Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers - Mathematical Engineering

Second edition

Hardback (05 Sep 2016)

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Publisher's Synopsis

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.


Book information

ISBN: 9783662484951
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: Second edition
DEWEY: 515.6302453
DEWEY edition: 23
Language: English
Number of pages: 376
Weight: 750g
Height: 169mm
Width: 244mm
Spine width: 27mm