Stoke's Theorem
This is Stoke's Theorem. Stokes theorem allows us to reduce any
surface integral to a line integral around the rim of the surface.
The implication here is that we can go from any surface integral,
to any other surface integral we care to define, so long as both
surfaces have the same rim c.

c here is defined in an anti-clockwise direction, with n the unit
vector pointing out of S, as defined by the right-hand rule. By
comparison, we can see that Stokes' Theorem is a higher-dimension
form of Green's Theorem