This paper covers the concept of a conservative vector field, and its application in vector physics and Newtonian mechanics. Conservative vector fields are defined as the gradient of a scalar-valued ...

This Python script demonstrates how to compute key vector calculus operations—gradient, divergence, curl, and Laplacian—using symbolic computation in the SymPy library. These operations are widely ...

The original (unprimed) system must be Cartesian. The primed system must have a diagonal metric (ie, the primed basis must be orthogonal). The curl() operator is only calculated for 3D-to-3D ...

Description: Functions of several variables: partial derivative, differential; quadratic approximation, extrema; vector calculus, gradient; line, surface and volume ...