The Intuitive Meaning of Stokes’s Theorem

  • Klaus Jänich
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

The actual definition of the Cartan (or exterior) derivative d : Ω k M → Ω k+1 M will be postponed until the next chapter, and the proof of Stokes’s theorem that M = ∂M ω until the chapter after that. In the present chapter I’ll try to sketch how one could intuitively come up with the idea of the exterior derivative and conjecture Stokes’s theorem.

Keywords

Simplicial Complex Chain Complex Homology Group Homology Theory Cochain Complex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Klaus Jänich
    • 1
  1. 1.NWF-I MathematikUniversität RegensburgRegensburgGermany

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