"Residues arise … naturally in several branches of analysis … . Their consideration provides simple and easy-to-use methods, which are applicable to a large number of diverse questions, and some new results … ."
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Sur un nouveau genre de calcul, 1826.
https://en.wikiquote.org/wiki/Augustin_Louis_Cauchy
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Augustin Louis Cauchy
Augustin Louis Cauchy (August 21, 1789 – May 23, 1857) was a French mathematician and physicist who made pioneering contributions to analysis. He was one of the first to state and prove theorems of calculus rigorously, rejecting the heuristic principle of the generality of algebra of earlier authors. He almost singlehandedly founded complex analysis and the study of permutation groups in abstract algebra. He was one of the most prominent mathematicians of the first half of the nineteenth century
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