The Cauchy Theory–A Fundamental Theorem

  • Jane P. Gilman
  • Irwin Kra
  • Rubí E. Rodríguez
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 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations