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

(Por) entre pedra e tela: a construção de uma memória republicana (Natal - 1906-1919)

This work, from a perspective that thinks the space as a historical category, and especially as a relationship which stresses the role of objects, proposes an analysis of the construction of a Republican memory in the city of Natal in the early twentieth century. This research will focus mainly on two objects: the obelisk opened in 1917, and the Andre de Albuquerque Square on the occasion of the celebration of Frei Miguelinho´s death centenary and the paint Julgamento de Frei Miguelinho ordered by the State Government to the painter Antonio Parreiras, picture that was in the Salão Nobre do Palácio do Poder Executivo of that time. In a geral way this work intend to analyse the construction of this memory as well as the role of these objects in this process. To achieve that, we propose to trace ways and networks to follow the possible associations(between people, events, images, discourses, objects, institutios etc.) in the constitution of mutual belongings. Thus, our procedure was to follow these objects through the pathways in which they became possible, so that in the end we could defend the idea that they are active participants of the process that establish them.