Tensor Analysis for Engineers

Transformations, Applications

Hardback
August 2018
9781683922377
More details
  • Publisher
    Mercury Learning & Information
  • Published
    29th August
  • ISBN 9781683922377
  • Language English
  • Pages 150 pp.
  • Images mathematical examples
  • Request Exam Copy
$59.95
E-Book
July 2018
9781683922384
More details
  • Publisher
    Mercury Learning & Information
  • Published
    26th July
  • ISBN 9781683922384
  • Language English
  • Pages 150 pp.
  • Images mathematical examples
  • Request E-Exam Copy
$39.95
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July 2018
9781683923220
More details
  • Publisher
    Mercury Learning & Information
  • Published
    26th July
  • ISBN 9781683923220
  • Language English
  • Pages 150 pp.
  • Images mathematical examples
$124.95

Tensor analysis is used in engineering and science fields. Calculations of physical quantities in different systems of coordinates and transformations are required in scientific computations. This requires the use of mathematical concepts and application software. This book is designed to provide the necessary definitions, formulations, and procedures for tensor analysis and transformations to help engineers and scientists to perform their calculations in arbitrary coordinates systems. Companion files include enhanced and animated 4-color figures.

Features:

*Uses AR software to enhance static figures

*Easy to understand mathematical concepts through
numerous figures, solved examples, and exercises

*List of gradient-like operators for major systems of coordinates

*Companion files include animated 4-color figures showing
different perspectives and parameters, etc.

The companion files include (files are also available for downloading from the publisher):

*All images from the text

*Uses AR software to enhance 4-color static figures

1: Introduction.
2: Cartesian Systems Definition.
3: Basis Vectors and Scale Factors.
4: Contravariant Components and Transformations.
5: Covariant Components and Transformations.
6: Physical Components and Transformations.
7: Tensors—Mixed and Metric.
8: Metric Tensor Operation on Tensor Indices.
9: Dot and Cross Products of Tensors.
10: Gradient Vector Operator—Christoffel Symbols.
11: Derivative Forms—Curl, Divergence, Laplacian.
12: Cartesian Tensor Transformation—Rotations.
13: Coordinate Independent Governing Equations.
14: Collection of Relations for Selected Coordinate Systems.
15: Worked-out Examples.
16: Exercises.
References.
Index.

Mehrzad Tabatabaian

Mehrzad Tabatabaian holds a PhD from McGill University and is currently the chairman of the Energy Efficiency and Renewable Energy Division at the British Columbia Institute of Technology. He has written numerous journal articles, has registered patents, and currently teaches courses in renewable energy and thermal engineering.