Adrien-Marie Legendre (1752-1833) e suas obras em Teoria dos Números

The present thesis is an analysis of Adrien-Marie Legendre s works on Number Theory, with a certain emphasis on his 1830 edition of Theory of Numbers. The role played by these works in their historical context and their influence on the development of Number Theory was investigated. A biographic study of Legendre (1752-1833) was undertaken, in which both his personal relations and his scientific productions were related to certain historical elements of the development of both his homeland, France, and the sciences in general, during the 18th and 19th centuries This study revealed notable characteristics of his personality, as well as his attitudes toward his mathematical contemporaries, especially with regard to his seemingly incessant quarrels with Gauss about the priority of various of their scientific discoveries. This is followed by a systematic study of Lagrange s work on Number Theory, including a comparative reading of certain topics, especially that of his renowned law of quadratic reciprocity, with texts of some of his contemporaries. In this way, the dynamics of the evolution of his thought in relation to his semantics, the organization of his demonstrations and his number theoretical discoveries was delimited. Finally, the impact of Legendre s work on Number Theory on the French mathematical community of the time was investigated. This investigation revealed that he not only made substantial contributions to this branch of Mathematics, but also inspired other mathematicians to advance this science even further. This indeed is a fitting legacy for his Theory of Numbers, the first modern text on Higher Arithmetic, on which he labored half his life, producing various editions. Nevertheless, Legendre also received many posthumous honors, including having his name perpetuated on the Trocadéro face of the Eiffel Tower, which contains a list of 72 eminent scientists, and having a street and an alley in Paris named after him

O desejo, o relato e a prática da cidade: de como são produzidos territórios marginais na cidade do príncipe (1880 - 1900)

The theme of this work is the study of marginal territories of the Cidade do Príncipe, sketch in time than today is constituted as the city of Caicó/RN, with the time frame the years 1880 to 1900. Our goal is to investigate the construction of these territories from multiple speech subjects practitioners of the city. Thus, we propose to discover the mapping of the deviation in the city in question, as they were drawn, those who experienced and through which practices. Investigate the construction of these spaces from the speeches, and fill a historiographical gap, allows to find stories sharp, silenced or ignored, abortions and madness in prison, repressed passions and avenged. To meet these spaces the sources are diverse, such as the newspaper O Povo, the Codes of posture, the Reports of Presidents and Heads of Provincial Police and process-crime. Regarding the methodological aspects of research, we decided by discourse analysis, discourse here conceived not only as what is said about someone or something, but as a set of statements circulating at any given time in society, articulating speech, intentions, actions and thought. The city is then considered from their territories, imagined as a space configured in/by the relations power that the dispute, but also as a space for experiences multiple, different feelings, place and non-place, the discipline and mockery, of power and resistance.