Overview
Stokes' theorem applies to a differential vector field (typically defined on {% \mathbb{R}^3 %}) and relates the line integral of the field around a closed curve, and a surface integral of the curl of the vector field over a surface with the given curve as its boundary.
Statement
{% \int \int \nabla \times \vec{F} \cdot d \vec{A} = \int \vec{F} \cdot d\vec{s} %}