Teoria matemática implícita na geometria fractal: construindo fractais com a ferramenta computacional Asymptote

• Ano de defesa: 2015
• Autor(a) principal: Araújo, Jerrimar Moraes de
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Roraima; Brasil; PRPPG - Pró-reitoria de Pesquisa e Pós-Graduação; PROFMAT - Programa de Mestrado Nacional Profissional em Matemática; UFRR
• Palavras-chave em Português: Geometria fractal; Fractais pioneiros; Asymptote; Indução matemática; Fractal geometry; Pioneers fractals; Mathematical induction; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: http://repositorio.ufrr.br:8080/jspui/handle/prefix/722

This work consists the historic report of the origin of Fractal Geometry, and highlighted the figure of Benoît Mandelbrot, identified as pioneer in this area, whose fractal bears his name. Shows the pioneers fractals, as well as the construction of these using the computational tool "Asymptote". It must be said that, from the construction of these, it is noted, easily a intense use of contents present in the curriculum of basic education, such as the calculation of perimeter and area of plane figures, potentiation, in counts problems, among others, they can be addressed in order to start the study of such content or to same deepen it. Finally, we will make use of Mathematical Induction to demonstrate some of the formulas found.