Stokes' theorem ↩

Metadata

shorthands: {}
aliases: [Stokes theorem, Kelvin-Stokes theorem, Fundamental theorem of curls, fundamental theorem of curls, curl theorem, Curl theorem]
created: 2021-10-20 01:00:05
modified: 2022-01-11 15:08:05

Also called: Kelvin-Stokes theorem, fundamental theorem of curls or curl theorem.
Let

be a smooth oriented surface in

with boundary

and

a vector field in a region containing

, then:

Simply: the "sum" of curl on a surface equals the path integral around the boundary of the surface.