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On Cauchy’s Integral Theorem in the Real Plane

  • Karl Menger
Chapter
  • 67 Downloads

Abstract

In a rectangle R let p (x, y) and q (x, y) be two continuous functions, and associate with each rectifiable curve C the number \(J(C) = {{\smallint }_{c}}pdx + qdy\). Under which conditions is J the same for any two coterminal curves in R?

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Copyright information

© Springer-Verlag Wien 2003

Authors and Affiliations

  • Karl Menger
    • 1
  1. 1.Department of MathematicsUniversity of Notre DameUSA

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