Tensor Analysis for Engineers

Lib E-Book: 978 1 68392 322 0 / $124.95  
About Library E-Book

Published: July 2018  

Hardback & CD-ROM: 978 1 68392 237 7 / $59.95
 
Due: August 2018  
 

E-Book: 978 1 68392 238 4 / $39.95
 
Published: July 2018  

Publisher: Mercury Learning & Information
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.

Features:

• Application of AR (augmented reality) 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 disc with applications


Table of Contents:
1. Introduction.
2. Cartesian coordinate system-rotations.
3. Curvilinear and oblique coordinate systems.
4. Basis vectors and scale factors.
5. Contravariant and covariant vectors.
6. Tensor definitions and Metric tensor.
7. Jacobian, covariant and contravariant permutation symbols.
8. Dot and cross products relations for tensors
9.Transformation for contravariant and covariant tensors.
10. Covariant and contravariant derivatives
11. Grad, Del, Div operators in curvilinear coordinates.
12. Applications: cylindrical, spherical, parabolic, bi-spherical systems
13. Governing equations used in engineering. in arbitrary coordinate systems.
14. Examples.
Appendix.
References.
Index.


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