Tensor Analysis for Engineers [OP]

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.

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.