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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-07-03 and was most recently seen on 2026-07-03.
In vector calculus and differential geometry the generalized Stokes theorem, also called the Stokes–Cartan theorem, is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus. In particular, the fundamental theorem of calculus is the special case where the manifold is a line segment, Green’s theorem and Stokes' theorem are the cases of a surface in or , and the divergence theorem is the case of a volume in . Hence, the theorem is sometimes referred to as the fundamental theorem of multivariate calculus.
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