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

Infância - memórias: cenários - personas

Infância is undoubtedly memory, high qual ity l iterature, reputable, as the story moves between f ict ion and reality. Personal and social history, wi th such a sense of reality, causing the reader to prof it f rom the honesty and the sinceri ty producing, in this work, remarkable results in a constancy of cl ippings, f rame -by-f rame. Memory and obl ivion are this work guidance. We aim to denounce the relat ionship between the chi ld and violence, and as it is a memorialist ic text , we see the importance of f ict ion for this type of narrat ive to be sustained. I aim thereby show the tone of this report humanizing memories, its deep and decisive meaning, through the memories concepts by Le Gof f , by Seligmann-Silva and by Ecléa Bosi. I t is also through the theories of Jeanne Marie Ganegbin that I just ify the concept of remembering and forget t ing, and also it is also according the concepts of Eliane Zagury that I give support to the importance of autobiography as a a mean of expressing the reported memor ies. Final ly, in Infância, there is no room for fantasy. The lyricism that overwhelms, throughout each chapter, commands the author's imaginat ion. The need to invent gives way to the need to test ify, to denounce. And this t ransit ion occurs gradually, slow as Gra c il ia n o s c h i ld li f e , d u e to such humiliat ion and submission

Caracterização in situ e diversidade genética de algodoeiros mocós (Gossypium hissutum raça marie galante) da Região Nordeste do Brasil

Brazil is one of the major centers of diversity for polyploid cotton plants; these plants belong to the genus Gossypium, which has three known species: G. hirsutum, G. barbadense and G. mustelinum. The Northeast is the only region where the three species occur, the last group being endemic. Northeast s cotton plants can be important sources of variability for genetic breeding. It is believed that great part of local diversity is being lost, due to economic, political, cultural and agricultural problems. In an attempt to mitigate this loss and delineate conservation strategies it is necessary to know how the species are found where they occur. The objective was to characterize and determine how plants are maintained in situ in the states of Maranhão, Piauí, Ceará, Rio Grande do Norte and Paraíba at the beginning of the XXI century. The in situ characterization of G. hirsutum and G. barbadense was conducted through structured interviews with the cotton plants owners and through the analysis of the environment. The data were collected during expeditions undertaken between the years 2004 to 2005. Twenty-two plants were collected in the state of Paraíba, forty-four in the state of Rio Grande do Norte, one hundred and forty-six in the state of Ceará, forty in the state of Maranhão and ninety-one plants in the state of Piauí. All plants collected in the states of Paraíba and Rio Grande do Norte belonged to moco type. Moco cotton plants also predominated in the other states, representing 92%, 62% and 78% of plants collected in Ceará, Piauí and Maranhão, respectively. The other cotton plants collected belong to the species G. barbadense. The cotton plants were found in situ as dooryard plants, roads side, feral populations, cultivation or local varieties. Great part were dooryard plants (45.2%), being major in Piauí and Maranhão. Cultivation predominated in Ceará; in Rio Grande do Norte feral populations were the most frequent and, in Paraíba, local varieties. The maintenance of moco plants is related, mainly, to the phytotherapic domestic use (20.9%) and to confection of lamp wicks (29.7%). Few inhabitants in Paraíba, Rio Grande do Norte, Piauí and none in Maranhão used harvest the plants, storage the seeds or gin; however, in Ceará, 40.5% of owners affirmed that they harvested and commercialized the fiber. It was found that the maintenance of species is dependent of the fragile cultural habits of local inhabitants, therefore the maintenance in situ is not a suitable way to conservation of genetic resources. The efforts must be directed to the continuity of collections, maintenance and characterization ex situ

A capitania de São José do Piauhy na racionalidade espacial Pombalina (1750-1777)

Em meio às intervenções políticas, econômicas e administrativas realizadas no Brasil a partir de 1750, é possível observar como se deram as tentativas de organização da capitania de São José do Piauhy e até mesmo o seu reconhecimento como importante área pecuarista da colônia. Neste trabalho, realizou-se um recorte espacial priorizando a região em que a apropriação territorial teria se dado de forma mais diversa em tal capitania, pois além dos procedimentos de aquisição de sesmarias, existiram ainda os processos de herança e confisco. Sobre estes últimos, os mesmos incidiram sobre as fazendas que pertenceram ao sertanista baiano Domingos Afonso Mafrense, e que após serem deixadas de herança para os religiosos da Companhia de Jesus (1711), foram confiscadas pela Coroa Portuguesa (1759). Isso aconteceu em meio ao planejamento e execução de medidas governamentais que atingiram todos os domínios portugueses durante esse período, a chamada Política Pombalina. Tais intervenções administrativas, por sua vez, puderam ser analisadas tomando-se como referência a confecção da primeira representação cartográfica destinada a tal capitania, o Mappa Geográfico da Capitania do Piauhy, produzido pelo engenheiro italiano Henrique Antônio Galúcio. Deste modo, considerando-se as particularidades da política portuguesa destinada ao interior do Brasil, em meados do séc. XVIII, com destaque para as medidas incidentes sobre os modos de vida indígena e rural, observou-se a tentativa de implantar-se uma nova forma de organização espacial, a partir de modos e instalações urbanas. Neste contexto, São José do Piauhy passa a ser alvo de intensas investidas enquanto área oficialmente pertencente ao Estado do Grão-Pará e Maranhão