Os artigos de Euler sobre os números amigáveis

• Ano de defesa: 2013
• Autor(a) principal: Leoncio, Sarah Mara Silva
• Orientador(a): Fossa, John Andrew
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Rio Grande do Norte
• Programa de Pós-Graduação: Programa de Pós-Graduação em Ensino de Ciências Naturais e Matemática
• Departamento: Ensino de Ciências Naturais e Matemática
• País: BR
• Palavras-chave em Português: História da Matemática na Educação Matemática. História da Teoria dos Números. Leonhard Euler. Números Amigáveis
• Palavras-chave em Inglês: Numbers Amicable. History of Mathematics. Number Theory. Mathematics Education
• Área do conhecimento CNPq: CNPQ::OUTROS
• Link de acesso: https://repositorio.ufrn.br/jspui/handle/123456789/16094

Among the many methodological resources that the mathematics teacher can use in the classroom, we can cite the History of Mathematics which has contributed to the development of activities that promotes students curiosity about mathematics and its history. In this regard, the present dissertation aims to translate and analyze, mathematically and historically, the three works of Euler about amicable numbers that were writed during the Eighteenth century with the same title: De numeris amicabilibus. These works, despite being written in 1747 when Euler lived in Berlin, were published in different times and places. The first, published in 1747 in Nova Acta Eruditorum and which received the number E100 in the Eneström index, summarizes the historical context of amicable numbers, mentions the formula 2nxy & 2nz used by his precursors and presents a table containing thirty pairs of amicable numbers. The second work, E152, was published in 1750 in Opuscula varii argument. It is the result of a comprehensive review of Euler s research on amicable numbers which resulted in a catalog containing 61 pairs, a quantity which had never been achieved by any mathematician before Euler. Finally, the third work, E798, which was published in 1849 at the Opera postuma, was probably the first among the three works, to be written by Euler