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Chapter 4 Green's Theorem

Vector Calculus has a series of extremely powerful and truly quite amazing theorem's: Green's Theorem, Stokes' Theorem, and the Divergence Theorem, which are all about how properties along the boundary relate to properties across an entire domain. Today we see Green's Theorem, which has two parts, and is the 2D story while the other theorems tell the 3D story. First we'll define two so called "local properties" called circulation density and divergence, before showing how these local properties relate to the global properties we've studied before like flux and flow along an entire boundary.