ABSTRACT
This chapter provides meaning to the various notions. It shows how to integrate a differential p form over a so-called singular p chain. The result is an integral which includes both line and surface integrals of vector fields as special cases. The chapter presents a general Stokes' theorem for surface integrals and shows that both Green's theorem and Stokes' theorem are special cases of it. The Gauss theorem relates the surface integral of a vector field F over a closed surface with the ordinary integral of the divergence of F over the region enclosed by the surface. The Gauss theorem can also be applied to electromagnetism. The chapter describes interpretation of the integral of an n form in Rn over a particular kind of singular n cube.
