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Abstract: Mathematics is innovation and progress. The most original creation of the 19th century was the theory of functions of a complex variable which was also hailed as one of the most harmonious theories of all abstract sciences. This discipline is often referred to as function theory, although the abbreviated description implies more than expected. This new branch of mathematics dominates the whole of the 19th century. Starting from this awareness, this article has been structured by examining the contributions that Cuchy has made to the theory of complex variables but also to closed solutions and the Fourier integral. Finally, we will examine his paper Il memoire sur les function. |
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