Stokes' theorem is certainly important, but it's proof is very easy: it essentially reduces (by a standard partition-of-unity argument) to the case where the compact manifold-with-boundary is a cubehalf-space, and then the definitions show that it is just the fundamental theorem of calculus.
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Stokes' theorem is certainly important, but it's proof is very easy: it essentially reduces (by a standard partition-of-unity argument) to the case where the compact manifold-with-boundary is a cube, and then the definitions show that it is just the fundamental theorem of calculus. |
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