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Abstract

The generalized version of Stokes’ theorem, henceforth simply called Stokes’ theorem, is an extraordinarily powerful and useful tool in mathematics. We have already encountered it in Sect. 9.5 where we found a common way of writing the fundamental theorem of line integrals, the vector calculus version of Stokes’ theorem, and the divergence theorem as ∫M  =∫∂M α. More precisely Stokes’ theorem can be stated as follows.

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Fortney, J.P. (2018). Generalized Stokes’ Theorem. In: A Visual Introduction to Differential Forms and Calculus on Manifolds. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-96992-3_11

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