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I am seeking to compile a list of textbooks that provide self-contained treatments of Stokes's Theorem in the language of differential forms and manifolds. By "self-contained", I mean the statements and proofs of all theorems from algebra, analysis and topology that are required to formulate and prove the theorem. I know of a few that satisfy this criterion or at least come pretty close and they are:

Calculus on Manifolds (Spivak)

Analysis on Manifolds (Munkres)

Functions of Several Variables (Fleming)

Vector Calculus, Linear Algebra and Differential Forms, A Unified Approach (Hubbard)

Advanced Calculus of Several Variables by Edwards

Multidimensional Real Analysis, Vols 1/2 (Duistermaat & Kolk)

Mathematical Analysis Vols 1/2 (Zorich)

What are others?

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    Well, although I didn't tag it as such, it is effectively a reference request about a particular mathematical topic. As such, if reference requests have no place on Math.SE, then I suppose you're right. If reference requests are indeed inappropriate as you seem to suggest, then the community probably ought to consider removing the "reference request" tag. In any event, I believe such a list could be useful to any student studying Stokes's theorem since multiple viewpoints on the same subject are usually helpful.2011-08-03

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Shigeyuki Morita's Geometry of Differential Forms, is always an excellent source regarding differential forms and also almost self-contained. If you speak german, i recommend Konrad Königsberger's Analysis 2 for a more elementary treatment, which also includes a proof of Stokes's theorem.

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    You're not the first person to suggest the Konigsberger text and I would like to be able to read it but, unfortunately do not speak German!2011-08-17