Linked from

The 15 pages that link to Green's theorem, each with the reason it gives.

• AreaRelated: It can compute enclosed area from information along the boundary.

• Line integralRelated: It converts planar boundary integrals into area integrals of derivatives.

• Divergence theoremRelated: It is the two-dimensional counterpart, linking boundary behavior to interior derivatives.

• Residue theoremRelated: It is a real-variable counterpart for converting boundary integrals into interior information.

• Stokes' theoremBroader topic: It is the two-dimensional counterpart of Stokes' theorem.

• Cauchy's integral theoremRelated: Its real-variable form can prove the complex theorem under additional smoothness assumptions.

• Generalized Stokes theoremBroader topic: It follows by applying generalized Stokes to a two-dimensional region.

• Closed curveRelated: For suitable regions, it turns integration around a closed boundary into integration across its enclosed area.

• Multiple integralCompared with: It can replace a double integral with a boundary integral, or the reverse.

• Iterated integralRelated: It connects repeated area integration with circulation along a region's boundary.

• Multivariable calculusRelated: It connects boundary behavior with quantities inside a two-dimensional region.

• Bendixson–Dulac theoremRelated: It converts the closed-orbit flow integral into an area integral of divergence.

• Gradient theoremCompared with: It treats boundary circulation through a region rather than integrating a gradient between endpoints.

• Pick's theoremCompared with: It obtains area from boundary data through calculus rather than lattice-point counts.

• Holditch's theoremRelated: Boundary integrals provide a way to express the area change caused by the moving chord.