Analysis of Stokes’ Theorem on Differentiable Manifolds

Abstract

In this research, we deal with three forms of Stokes’ theorem. The version known to Stokes’ appears in the last chapter, along with its inseparable companions, Green’s theorem and the Divergence theorem. We discuss how these three theorems can be derived from the modern Stokes theorem, which appears in chapter (4), with some applications on oriented manifolds with boundary. In addition to applications of Maxwell’s field equations.