Tensor Analysis for Engineers: Transformations and Applications

by Mehrzad Tabatabaian

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. (Files are also available for
downloading with Amazon order number by writing to info@merclearning.com.)

Brief Table of Contents
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.

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. (Files are also available for
downloading with Amazon order number by writing to info@merclearning.com.)

About The Companion Files
The companion files include (files are also available for
downloading with Amazon order number by writing to info@merclearning.com)):
--All images from the text
-Uses AR software to enhance 4-color static figures

About The Author
Mehrzad Tabatabaian holds a PhD from McGill University and is currently a faculty member and the Program Head for the Mechanical Bachelor of Engineering program, School of Energy at the British Columbia Institute of Technology. He has written numerous journal articles, has registered patents, and published several textbooks.
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204 pages, Kindle Edition

Published September 25, 2018