Handout Eight: Green’s Theorem
نویسنده
چکیده
Green’s Theorem is another higher dimensional analogue of the fundamental theorem of calculus: it relates the line integral of a vector field around a plane curve to a double integral of “the derivative” of the vector field in the interior of the curve. It admits two different but completely equivalent formulations, a “flux” version for normal line integrals and a “circulation” version for tangent line integrals. We have already predicted the former version as an “integral form” of the fact that divergence is equal to flux density. Here it is again:
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