(DOWNLOAD) "Tensor Analysis for Engineers" by Mehrzad Tabatabaian " eBook PDF Kindle ePub Free
eBook details
- Title: Tensor Analysis for Engineers
- Author : Mehrzad Tabatabaian
- Release Date : January 30, 2018
- Genre: Engineering,Books,Professional & Technical,
- Pages : * pages
- Size : 22115 KB
Description
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 files accompany the book (available by writing the publisher at info @ merclearning.com)
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.