(Original author Keenan Crane) In the last set of notes we talked about how to differentiate \(k\)-forms using the exterior derivative \(d\). We’d also like some way to integrate forms. Actually, there’s surprisingly little to say about integration given the setup we already have. Suppose we want to compute the total area \(A_\Omega\) of a region \(\Omega\) in the plane: If … Continue reading A Quick and Dirty Introduction to Exterior Calculus — Part V: Integration and Stokes’ Theorem