Dictionary:Green's theorem

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A form of Gauss's (divergence) theorem relating a volume integral to surface integrals.

If F and G are two scalar functions, then


where dv is a volume element and is a directed surface element, represented by . Here is the inward directed normal vector to the surface.

Named for George Green (1793-1841), English mathematician.

Derivation and applications

See derivation and application.

External links

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Green's theorem
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