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
Tabatabaian Mehrzad :
Mehrzad Tabatabaian holds a PhD from McGill University and is currently Chair of the BCIT School of Energy Research Committee. He has published several papers for scientific journals and conferences, and he has written textbooks on multiphysics and turbulent flow modelling, thermodynamics, and direct energy conversion. He holds several registered patents in the energy field and currently teaches courses in renewable energy and thermal engineering.