Vector and Tensor Analysis

angle angular velocity axes axis body forces closed curve closed surface components compute const constant coordinates coplanar corresponding Darboux vector defined denote derivatives differential equation div f divergence theorem ds ds dt dt dual dyadic e₁ Example formulas geodesic curvature gradient hence integral irrotational k₁ linear lines of curvature motion motor normal curvature obtain orthogonal osculating plane P₁ parallel parametric parametric curves particle perpendicular point function position vector potential principal curvatures prove quaternion r₁ reciprocal rot f rotation scalar simply connected stream-lines surface curves T₁ tangent vector tensor THEOREM tion total curvature transformation trihedral unit vector vanish vector function velocity potential z-axis zero ди дх მყ