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In vector calculus and differential geometry, the generalized Stokes' theorem or just Stokes' theorem relates the integral of a function over the boundary of a manifold to the integral of the function's exterior derivative on the manifold itself. Mathematically, it is stated as The fundamental theorem of calculus, gradient theorem, Green's theorem, divergence theorem, and Kelvin–Stokes theorem are all special cases of Stokes' theorem.

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  • Generalized Stokes' theorem
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  • In vector calculus and differential geometry, the generalized Stokes' theorem or just Stokes' theorem relates the integral of a function over the boundary of a manifold to the integral of the function's exterior derivative on the manifold itself. Mathematically, it is stated as The fundamental theorem of calculus, gradient theorem, Green's theorem, divergence theorem, and Kelvin–Stokes theorem are all special cases of Stokes' theorem.
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  • In vector calculus and differential geometry, the generalized Stokes' theorem or just Stokes' theorem relates the integral of a function over the boundary of a manifold to the integral of the function's exterior derivative on the manifold itself. Mathematically, it is stated as The fundamental theorem of calculus, gradient theorem, Green's theorem, divergence theorem, and Kelvin–Stokes theorem are all special cases of Stokes' theorem. File:Hyperbolic triangle.svg This differential geometry-related article contains minimal information concerning its topic. You can help the Mathematics Wikia by adding to it.
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