Definition of Stokes' theorem in US English:

Stokes' theorem


  • A theorem proposing that the surface integral of the curl of a function over any surface bounded by a closed path is equal to the line integral of a particular vector function around that path.

    • ‘With these three identities in mind, the above Stokes' theorem in the three instances is transformed into the gradient, curl, and divergence theorems respectively as follows.’
    • ‘Perhaps the most famous example of this is Stokes' theorem in vector calculus, which allows us to convert line integrals into surface integrals and vice versa.’


Late 19th century: named after Sir G. Stokes (see Stokes' law).