Introduction

TL;DRAbstract

I.1. During the years 1814–1831 Cauchy created the basic framework of complex function theory. The aim of the present work is to trace the details of this process, beginning with his 1814 memoir on definite integrals, and taking the story as far as the two Turin memoirs of 1831. That year marks a major break in the development of his work in this direction: it is true that for some time thereafter he was making important applications of his results, but he made no further substantial contributions to the central core of the theory until after his return to teaching in 1849.

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