Linked from
The 14 pages that link to Stokes' theorem, each with the reason it gives.
VorticityRelated: It turns local vorticity into the circulation measured around a finite loop.
Line integralRelated: It generalizes the circulation-to-curl relationship beyond the plane.
CurlRelated: It makes curl’s local circulation measure an exact global boundary relation.
Surface integralRelated: It connects a surface integral of curl to a line integral on the boundary.
Vector calculusRelated: It links a field's local rotation to measurable circulation.
Magnetic vector potentialRelated: It connects circulation of the potential to magnetic flux.
Multivariable calculusRelated: It converts between circulation and rotation across a surface.