HI, and sorry to badger people who are all working to give us a terrific maths tool for no cost, but there's a big need for div, grad and curl in many applications, such as electromagnetics, quantum theory, fluid flow, etc.
Specifically, my wish list would be, if s is a scalar field, and v a vector one,
grad (s) in cartesians, polars, cylindricals and sphericals
div (v) over the same coordinate systems
curl (v) over the same coordinate systems
and
grad(grad(s)) over these four systems, the spherical one being quite tricky anyway
Is there any cance of some kind person implementing (and documenting) these?