O problema que tornou Euler famoso

• Ano de defesa: 2013
• Autor(a) principal: Gayo, Jairo
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Tecnológica Federal do Paraná; Curitiba; Mestrado Profissional em Matemática em Rede Nacional
• Palavras-chave em Português: Matemática - História – Séc. XVIII; Matemática - Estudo e ensino; Mathematics - History - 18th century; Mathematics - Study and teaching
• Link de acesso: http://repositorio.utfpr.edu.br/jspui/handle/1/579

In this study we present the Basel Problem whose answer has Leonhard Euler famous. Presents the Euler’s Proof which long contained a passage regarded as incorrect, but that after the Weierstrass Factorization Theorem was accepted. Also addresses other resolutions to the problem, its geometric representation and an application. It also discusses, through this problem, the importance of the History of Mathematics for the teacher of this discipline.