Editing Generalized Stokes theorem (section)

== Underlying principle ==
[[Image:Stokes patch.svg|200px|left]]
To simplify these topological arguments, it is worthwhile to examine the underlying principle by considering an example for {{math|1=''d'' = 2}} dimensions. The essential idea can be understood by the diagram on the left, which shows that, in an oriented tiling of a manifold, the interior paths are traversed in opposite directions; their contributions to the path integral thus cancel each other pairwise. As a consequence, only the contribution from the boundary remains. It thus suffices to prove Stokes' theorem for sufficiently fine tilings (or, equivalently, [[simplex|simplices]]), which usually is not difficult.

{{Clear}}