An Introduction to Tensor Analysis for Engineers and Applied Scientists

addition alternating application appropriate associated assumed axes becomes called charge Christoffel symbols clearly components consequence considered constant contravariant coordinate system corresponding covariant defined density dependent derivative described determine developed differentiation diffusion direction effects electric energy example expressed field flow fluid flux follows forces function further generalised coordinates given gives gradient heat independent indices interesting introduced isotropic known linear mass material mean methods metric tensor momentum normal notation obtained parameters particles particular physical potential pressure previously problems properties Prove providing quantities rectangular Cartesian relationship represented respect result rule satisfy scalar seen shown shows significance similar solid solution space strain stress surface symmetrical temperature tensor analysis thermal transfer transformation transport equation unit usually values variables vector velocity volume wave write written zero ди др дф дх дхі