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arxiv: 1701.04887 · v1 · pith:3KZVLJY2new · submitted 2017-01-17 · 🧮 math.HO · math.CV

Cauchy's residue sore thumb

classification 🧮 math.HO math.CV
keywords cauchyresiduealongapproachaxiscalculuscenturiescomplex
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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.

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