An Introduction to Tensor Analysis for Engineers and Applied Scientists

algebra alternating tensor antisymmetric axi axi Cartesian tensors Christoffel symbols considered constant continuity equation contravariant and covariant coordinate axes corresponding covariant derivative covariant differentiation defined developed diffusion effects Eijk electromagnetic energy equation 3.4 equation of equation example əx¹ Əxk Əxl flow follows function generalised coordinate system given heat transfer isotropic isotropic tensors Kronecker delta linear material property metric tensor mixed tensor momentum equation number density obtained parameters particles particular physical processes potential field problems rectangular Cartesian coordinates result scalar potential second order tensor Section shown solid stress tensor stress/strain relationship surface forces symmetrical tensor tensor algebra tensor analysis tensor notation tensor of order tensor quantities thermal flux thermodynamic transformation rule transport equation turbulent values variables velocity wave written zero ат әт ди диг диз дик др дф дх дх дх дхі дхк дхт эт