Green's theorem is the first of the "big integral theorems" that connect the behavior of a vector field on the boundary of a region to the behavior of its derivatives in the interior. Using the ...

Just as curves are parameterized by one parameter t, surfaces are parameterized by two parameters (u, v). A parametric surface r(u, v) = (x(u, v), y(u, v), z(u, v)) maps a region in the uv-plane to a ...