A derivation of the Stokes theorem

Motivated by electrodynamics we discuss a derivation of the Stokes theorem which is based on the variations of the fluxes and line integrals of vector fields. We show how this procedure can be extended to higher rank tensors in the context of the explicitly Lorentz invariant equations of electromagnetism and finally we present a general derivation of the Stokes theorem for differential forms.

Keywords:
Stokes theorem; Differential forms; Lorentz Invariant Integral Maxwell equations