Mehrzad Tabatabaian

Tensor Analysis for Engineers (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Mercury Learning & Information
• Erscheinungstermin: 31. August 2018
• Englisch
• ISBN-13: 9781683923220
• Artikelnr.: 72311915

Autorenporträt

Mehrzad Tabatabaian, PhD, PEng, is currently Chair of the BCIT School of Energy Research Committee. He has published several papers for scientific journals and has written textbooks on multiphysics modelling and thermodynamics. He holds several registered patents in the energy field and teaches courses in renewable energy.

Inhaltsangabe

1. Introduction
2. Coordinate systems
3. Curvilinear and oblique coordinate systems
4. Basis vectors and scale factors
5. Contravariant 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. Rigid body rotation: Euler angles, quaternions, and rotation matrix
16. Worked-out examples
17. Exercises
References
Index