About: Kelvin–Stokes theorem   Sponge Permalink

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Stokes' theorem is a theorem in vector calculus which relates a closed line integral over a vector field to a surface integral over the curl of the vector field, with the boundary of the surface being the path of the line integral. Mathematically, it is stated as: Stoke's theorem is essentially a higher dimensional equivalent to Green's theorem. Both of these theorems, along with the divergence theorem, are special cases of the generalized Stokes' theorem.

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  • Kelvin–Stokes theorem
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  • Stokes' theorem is a theorem in vector calculus which relates a closed line integral over a vector field to a surface integral over the curl of the vector field, with the boundary of the surface being the path of the line integral. Mathematically, it is stated as: Stoke's theorem is essentially a higher dimensional equivalent to Green's theorem. Both of these theorems, along with the divergence theorem, are special cases of the generalized Stokes' theorem.
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  • Stokes' theorem is a theorem in vector calculus which relates a closed line integral over a vector field to a surface integral over the curl of the vector field, with the boundary of the surface being the path of the line integral. Mathematically, it is stated as: Stoke's theorem is essentially a higher dimensional equivalent to Green's theorem. Both of these theorems, along with the divergence theorem, are special cases of the generalized Stokes' theorem. File:Helicoid.svg This multivariable calculus-related article contains minimal information concerning its topic. You can help the Mathematics Wikia by adding to it.
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