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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© 2003 Springer-Verlag Wien
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Menger, K. (2003). On Cauchy’s Integral Theorem in the Real Plane. In: Schweizer, B., et al. Selecta Mathematica. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6045-9_4
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DOI: https://doi.org/10.1007/978-3-7091-6045-9_4
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