On Cauchy’s Integral Theorem in the Real Plane

Karl Menger
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Karl Menger: University of Notre Dame, Department of Mathematics

A chapter in Selecta Mathematica, 2003, pp 35-39 from Springer

Abstract: 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?

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-6045-9_4

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DOI: 10.1007/978-3-7091-6045-9_4

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