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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A brief proof of Cauchy's integral theorem


Author: John D. Dixon
Journal: Proc. Amer. Math. Soc. 29 (1971), 625-626
MSC: Primary 30.35
MathSciNet review: 0277699
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Abstract: A short proof of Cauchy's theorem for circuits homologous to 0 is presented. The proof uses elementary local properties of analytic functions but no additional geometric or topological arguments.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0277699-8
PII: S 0002-9939(1971)0277699-8
Keywords: Cauchy's integral theorem, Cauchy's integral formula, residue theorem
Article copyright: © Copyright 1971 American Mathematical Society