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These last two examples (and Stokes' theorem in general) are the subject of vector calculus.  They play important roles in [[electrodynamics]].  The divergence and curl operations are cornerstones of [[Maxwell's Equations]].

These last two examples (and Stokes' theorem in general) are the subject of vector calculus.  They play important roles in [[electrodynamics]].  The divergence and curl operations are cornerstones of [[Maxwell's Equations]].

Stokes' Theorem is a lower-dimension version of the Divergence Theorem, and a higher-dimension version of [[Green's Theorem]].  Green’s Theorem relates a line integral to a double integral over a region, while Stokes' Theorem relates a surface integral of the curl of a function to its line integral.  Stokes' Theorem originated in 1850.

Stokes' Theorem is a lower-dimension version of the Divergence Theorem, and a higher-dimension version of [[Green's Theorem]].  Green's Theorem relates a line integral to a double integral over a region, while Stokes' Theorem relates a surface integral of the curl of a function to its line integral.  Stokes' Theorem originated in 1850.

== References ==

== References ==