• Marcel Berger
  • Bernard Gostiaux
Part of the Graduate Texts in Mathematics book series (GTM, volume 115)


This chapter contains fundamental results from exterior algebra, differential calculus and integration theory that will be used in the sequel. The statements of these results have been collected here so that the reader won’t have to hunt for them in other books. Proofs are generally omitted; the reader is referred to [Car71], [Dix68] or [Gui69].


Banach Space Vector Space Differential Calculus Exterior Algebra Lebesgue Measure Zero 
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 1988

Authors and Affiliations

  • Marcel Berger
    • 1
  • Bernard Gostiaux
    • 2
  1. 1.I.H.E.S.Bures-sur-YvetteFrance
  2. 2.Le PerreuxFrance

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