(Q321237)

Statements

instance of

theorem

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named after

George Green

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studied in

calculus

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defining formula

${\displaystyle \iint _{S}\left({\frac {\partial F_{2}}{\partial x}}-{\frac {\partial F_{1}}{\partial y}}\right)\mathrm {d} A=\int _{\partial S}F_{1}\,\mathrm {d} x+F_{2}\,\mathrm {d} y}$

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in defining formula

${\displaystyle F_{1}}$

symbol represents

scalar function

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${\displaystyle F_{2}}$

symbol represents

scalar function

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${\displaystyle S}$

symbol represents

plane region

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${\displaystyle \partial S}$

symbol represents

boundary

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${\displaystyle \iint _{S}f\,\mathrm {d} A}$

symbol represents

surface integral

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${\displaystyle \int _{\boldsymbol {c}}f\,\mathrm {d} s}$

symbol represents

line integral of a scalar field

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described by source

Armenian Soviet Encyclopedia, vol. 3

page(s)

229

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proved by

Bernhard Riemann

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maintained by WikiProject

WikiProject Mathematics

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Commons category

Green's theorem

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topic's main category

Category:Green's theorem

1 reference

imported from Wikimedia project

Chinese Wikipedia

Identifiers