Green's theorem

Meaning

Noun

• A generalization of the fundamental theorem of calculus to the two-dimensional plane, which states that given two scalar fields P and Q and a simply connected region R, the area integral of derivatives of the fields equals the line integral of the fields, or
• Letting $\backslash vec\; G\; =\; (P,\; Q)$ be a vector field, and $d\backslash vec\; l\; =\; (dx,\; dy)$ this can be restated as

Origin

• Named after the mathematician George Green.