Um estudo histórico-matemático sobre a obra Mélanges de calculo integral de Joaquim Gomes de Souza (1829-1864)

Abstract

The aim of this dissertation is to present a mathematical-historical analysis of the book Mélanges de Calcul Integral, authored by Joaquim Gomes de Souza (1829-1864), based on the sociocultural and scientific context in which it was published. In order to do it, it was necessary to translate, to Portuguese language, the parts of the book we wish to analyze, since the original is written in French. In order to achieve our goals, we researched Joaquim Gomes de Souza’s biography, along with the time period in which he lived. We took as methodologies documental analysis and historical research, besides investigating translation methods. The book Mélanges de Calcul Integral is divided in ten chapters, and the first chapter is divided in fifty-six sections; of those, we analyzed and translated four, along with the preface. We presented, whenever possible, the scientifical context in which the used theorems were developed, along with a version using modern mathematics notions. This way, we hope to have demonstrated that Gomes de Souza was aware of the current science of his time, and it was under such influence that he wrote his book.