Gradient, divergence and curl

Description
Gradient of a scalar and divergence and curl of a vector pictured as abstractisation from electric potential, Gauss Law and Ampere Circuital Law. Gradient is pictured as the path of a river flowing down from the mountain top;always travelling in the direction of maximum slope.Divergence is shown as replacing a surface integral by a volume integral. Curl is shown as a line integral replaced by a surface integral. Divergence , gradient, curl and laplacian are instruments of symmetry and are invariant wrt transformation of coordinate systems.