First, much of vector Calculus was invented for use in electromagnetic theory and is ideally suited to it. Second, we have a deep-seated conviction that mathematics—in any case some mathematics—is best discussed in a context which is not exclusively mathematical... Electrostatics is based on three facts, each known from experiment and none presently understood in terms of any deeper or more basic concepts.
Div, Grad, Curl, And All That
H.M Schey 1973












