Cauchy's residue sore thumb
History and Overview
2017-01-19 v1 Complex Variables
Abstract
Cauchy's method from two centuries ago for computing integrals along the real axis by passing into the complex plane is not rigorous by present-day standards. Yet when properly formulated, his original approach is simpler than modern presentations of the residue calculus.
Cite
@article{arxiv.1701.04887,
title = {Cauchy's residue sore thumb},
author = {Harold P. Boas},
journal= {arXiv preprint arXiv:1701.04887},
year = {2017}
}
Comments
To appear in the American Mathematical Monthly