Grunsky first proves Stokes 's theorem for suitable k-dimensional region in Rk, and then for k-dimensional regions in Rn. He then introduces the calculus of alternating multilinear forms and gives a proof of Stokes 's theorem for manifolds.
Siya pagkatapos ay introduces ang calculus ng alternating multilinear forms at nagbibigay ng isang patunay ng Stokes' s teorama para sa manifolds.