Stokes’ Theorem

Will J. Merry
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Will J. Merry: ETH Zürich, Departement Mathematik

Chapter Chapter 26 in Lectures on Differential Geometry I, 2026, pp 263-272 from Springer

Abstract: Abstract In this chapter we state and prove Stokes’ Theorem, which is one of the cornerstones of modern differential geometry. In fact, we will prove two versions of Stokes’ Theorem: a local version (Theorem 26.2) using the language of smooth singular cubes from the last chapter, and a global version (Theorem 26.16) which concerns integration over the entire manifold.

Date: 2026
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DOI: 10.1007/978-3-032-03733-6_26

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