A proof of Cauchy's theorem
type: Item
instance of: scholarly article
title: A proof of Cauchy's theorem
zbMATH Open document ID: 0873.30022
author: Akrur Behera
author: Sribatsa Nanda
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1997-11-02T00:00:00Z
review text: Using a standard subdivision argument, the authors prove the following homology version of Cauchy's theorem: if \(G\) is an open subset of the complex plane, \(f\) is an analytic function on \(G\) and \(\beta\) is a 1-chain on \(G\) which is the boundary of a 2-chain so that each summand of \(\partial\beta\) is rectifiable then \(\int_\beta f=0\).
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 971834
zbMATH Keywords: Cauchy's theorem
reviewed by: David B. Gauld
MaRDI profile type: Publication
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