The Cauchy Theory–A Fundamental Theorem

Part of the Graduate Texts in Mathematics book series (GTM, volume 245)


As with the theory of differentiation for complex-valued functions of a complex variable, the integration theory of such functions begins by mimicking and extending results from the theory for real-valued functions of a real variable, but again the resulting theory is substantially different, more robust and elegant.


Closed Form Real Variable Fundamental Theorem Connected Domain Continuous Path 


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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Jane P. Gilman
    • 1
  • Irwin Kra
    • 2
    • 3
  • Rubí E. Rodríguez
    • 4
  1. 1.Department of Mathematics and Computer ScienceRutgers UniversityNewarkUSA
  2. 2.Math for AmericaNew YorkUSA
  3. 3.Department of MathematicsState University of New York at Stony BrookStony BrookUSA
  4. 4.Pontificia Universidad Católica de ChileSantiagoChile

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