Stokes Theorem

May 19th, 2015
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In differential geometry, Stokes' theorem (or Stokes's theorem, also called the generalized Stokes' theorem) is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus.

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Stokes TheoremStokes' theoremIn differential geometry, Stokes' theorem (or Stokes's theorem, also called the generalized Stokes' theorem) is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus. The general formulation reads: If is an (n 1)-form with compact support on , and denotes the boundary of with its induced orientation, and denotes the exterior differential operator, then. The modern Stokes' theorem is a generalization of a classical result first discovered by Lord Kelvin, who communi

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