Definition of Stokes' theorem in 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 round that path.

    ‘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.’
    ‘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.’


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