Editing Multivariable calculus (section)

===Fundamental theorem of calculus in multiple dimensions===
In single-variable calculus, the [[fundamental theorem of calculus]] establishes a link between the derivative and the integral.  The link between the derivative and the integral in multivariable calculus is embodied by the integral theorems of vector calculus:<ref name="CourantJohn1999"/>{{rp|543ff}}
* [[Gradient theorem]]
* [[Stokes' theorem#Special cases|Stokes' theorem]]
* [[Divergence theorem]]
* [[Green's theorem]].

In a more advanced study of multivariable calculus, it is seen that these four theorems are specific incarnations of a more general theorem, the generalized [[Generalized Stokes theorem|Stokes' theorem]], which applies to the integration of [[differential forms]] over [[Differentiable manifold|manifolds]].<ref>{{Cite book|url=https://archive.org/details/SpivakM.CalculusOnManifolds_201703|title=Calculus on Manifolds|last=Spivak|first=Michael|publisher=W. A. Benjamin, Inc.|year=1965|isbn=9780805390216|location=New York}}</ref>