Notation in vector
Vector calculus concerns differentiation and integration of vector or scalar fields particularly in a three-dimensionalEuclidean space, and uses specific notations of differentiation. In a Cartesian coordinate o-xyz, assuming a vector field A is , and a scalar field is .
where the terminology symbolically reflects that the operator ∇ will also be treated as an ordinary vector.
- Gradient: The gradient of the scalar field is a vector, which is symbolically expressed by the multiplication of ∇ and scalar field ,