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Previous issue date: 2010-12-14 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / 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 Trocad?ro 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 / Este trabalho teve por objetivo inventariar, sistematizar e avaliar as obras em Teoria
dos N?meros do matem?tico franc?s Adrien-Marie Legendre (1752-1833), com certa ?nfase
no seu livro Teoria dos N?meros, edi??o francesa de 1830, bem como realizar um estudo
hist?rico da vida desse matem?tico. Para tanto, foi investigado o papel desempenhado por
essas obras e sua influ?ncia no desenvolvimento da Teoria dos N?meros no contexto de sua
?poca. Uma leitura da vida de Adrien-Marie Legendre foi realizada por meio de suas rela??es
pessoais e de suas produ??es cient?ficas e colocou em evid?ncia certos elementos hist?ricos
do desenvolvimento de um povo, das ci?ncias e suas poss?veis consequ?ncias que nortearam
a pr?pria evolu??o da sociedade francesa dos s?culos XVIII-XIX, e revelou caracter?sticas
marcantes da personalidade de Legendre no meio matem?tico contempor?neo, como as
infind?veis querelas com Gauss a respeito de prioridades de descobertas cient?ficas. Um
estudo sistem?tico da obra Teoria dos N?meros (1830) num contexto hist?rico-social e a
an?lise de certos conte?dos da obra comparados a alguns textos de outros autores nos
permitiram compreender a evolu??o din?mica dos caminhos percorridos pelo autor, quanto ?
sem?ntica, ? organiza??o das demonstra??es, ? estrutura l?gico-dedutiva que permearam suas
descobertas matem?ticas em Teoria dos N?meros, a exemplo da sua famosa lei de
reciprocidade. O impacto causado por suas obras em Teoria dos N?meros na comunidade
matem?tica francesa da ?poca e as contribui??es do autor ? ci?ncia antes e depois da
publica??o da obra revelou que Teoria dos N?meros, obra ? qual o autor consagrou mais da
metade de sua vida no intuito de aperfei?o?-la, tornou not?ria a honra que lhe ? devida como
o primeiro tratado de uma Aritm?tica superior que tanto inspirou a outros matem?ticos para o
avan?o dessa ci?ncia no s?culo XX. Legendre recebeu homenagens p?stumas dos
matem?ticos Beaumont, e Poisson, que inclusive discursou em seu funeral, e o seu nome se
encontra perpetuado na face Trocad?ro da Torre Eiffel que cont?m uma lista de 72 ilustres
cientistas e d? nome a uma passagem e a uma rua do 17? bairro da cidade de Paris
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/14306 |
| Date | 14 December 2010 |
| Creators | Ramos, Maria Aparecida Roseane |
| Contributors | CPF:13056476453, http://lattes.cnpq.br/2466525106349625, S?, Pedro Franco de, CPF:14551284220, http://lattes.cnpq.br/4323922632919962, Sad, Ligia Arantes, CPF:2957525768, http://lattes.cnpq.br/1714140036102231, Mendes, Iran Abreu, CPF:12432962249, http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4704236U8, Sousa, Giselle Costa de, CPF:00828345473, http://lattes.cnpq.br/1300121866958282, Fossa, John Andrew |
| Publisher | Universidade Federal do Rio Grande do Norte, Programa de P?s-Gradua??o em Educa??o, UFRN, BR, Educa??o |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/doctoralThesis |
| Format | application/pdf |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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