state and prove stokes theorem
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This completes the proof of Stokes' theorem when F = P (x, y, z) k . In the same way, if F = M(x, y, z) i and the surface is x = g(y, z), we can reduce Stokes' theorem to Green's theorem in the yz-plane.
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Hey mate, here is your answer :
In vector calculus, and more generally differential geometry, Stokes' theorem (also called the generalized Stokes theorem or 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.
Stokes' theorem is also used for the interpretation of curl of a vector field. This theorem is quite often used in physics, especially in electromagnetism. Stokes' theorem and its generalized form are very important in finding line integral of some particular curve and also in determining the curl of a bounded surface.
Hope this answer helps you...
In vector calculus, and more generally differential geometry, Stokes' theorem (also called the generalized Stokes theorem or 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.
Stokes' theorem is also used for the interpretation of curl of a vector field. This theorem is quite often used in physics, especially in electromagnetism. Stokes' theorem and its generalized form are very important in finding line integral of some particular curve and also in determining the curl of a bounded surface.
Hope this answer helps you...
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