A Stokes theorem for everyone

Details A Stokes theorem for everyone A Stokes theorem for everyone

2011-11-05

arxiv.org/abs/1111.1293v1

Mathematics

Classical Analysis and ODEs

I could not find any similar form of the Stokes theorem

Scientific paper

Many versions of the Stokes theorem are known. More advanced of them require complicated mathematical machinery to be formulated which discourages the users. Our theorem is sufficiently simple to suit the handbooks and yet it is pretty general, as we assume the differential form to be continuous on a compact set F(A) and C1 "inside" while F(A) is built of "bricks" and its inner part is a C1 manifold. There is no problem of orientability and the integrals under consideration are convergent. The proof is based on integration by parts and inner approximation.

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