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Exterior Algebra and Differential Forms

  • Stephen Bruce Sontz
Chapter
Part of the Universitext book series (UTX)

Abstract

We give a brief treatment of these topics. The crucial concept here is that of a differential k-form on a manifold. But before discussing that, we have to present a bit of exterior algebra.

References

  1. 1.
    I. Agricola and T. Friedrich, Global Analysis, Am. Math. Soc., Providence, 2002.Google Scholar
  2. 15.
    H. Flanders, Differential Forms with Applications to the Physical Sciences, Academic Press, 1963. (Reprinted by Dover, 1989.)Google Scholar
  3. 21.
    S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, 1962.Google Scholar
  4. 28.
    J.D. Jackson, Classical Electrodynamics, John Wiley & Sons, 2nd edition, 1975.Google Scholar
  5. 32.
    S. Lang, Fundamentals of Differential Geometry, Graduate Texts in Mathematics, Vol. 191, Springer, 1999.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Stephen Bruce Sontz
    • 1
  1. 1.Centro de Investigación en Matemáticas, A.C.GuanajuatoMexico

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