Mestrado Profissional em Matemática em Rede Nacional (IME)
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Navegando Mestrado Profissional em Matemática em Rede Nacional (IME) por Por Orientador "Cruz, José Yunier Bello"
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Item Introdução à análise convexa: conjuntos e funções convexas(Universidade Federal de Goiás, 2013-03-18) Amorim, Ronan Gomes de; Cruz, José Yunier Bello; http://lattes.cnpq.br/8377200040018415; Sandoval, Wilfredo Sosa; Cruz, José Yunier Bello; Pérez, Luis Román LucambioThis paper presents the main ideas concerning convex sets and functions. Our aim is to deal, didactically, with the main topics concerning convexity, as well as the consequent exploitation of the envolved mathematical concepts. In this sense, we have made a bibliographic revision approaching important theorems, lemmas, corollaries and propositions designed both to first readers and to those who want to work with applications arising from convexity. We hope that this study may constitute an important research source either for students, teachers or researchers who wish to learn more about convex sets.Item O número de ouro e construções geométricas(Universidade Federal de Goiás, 2013-03-22) Azevedo, Natália de Carvalho de; Cruz, José Yunier Bello; http://lattes.cnpq.br/8377200040018415; Cruz, José Yunier Bello; Seimetz, Rui; Martins, Ivonildes RibeiroThe golden number and its geometry remote from Ancient Greece. The golden number is a real number that can be represented geometrically by dividing a segment in extreme and mean ratio. It is related to the act of determining a point C on a segment AB in order to obtain equal ratios between AB : AC and AC : CB. Its value is obtained by numerical solution of the quadratic equation obtained from this equality. From ruler and compass constructions of the golden mean other geometric constructions are made: triangles, rectangles, pentagons and spirals. The golden number has been present in arts, architecture and nature for years, and it presented in this work as a tool for study, focusing on presentation to high school students.Item Regiões circulares e o número Pi(Universidade Federal de Goiás, 2014-03-22) Pereira, Thiago Veríssimo; Cruz, José Yunier Bello; http://lattes.cnpq.br/8377200040018415; Cruz, José Yunier Bello; Seimetz, Rui; Martins, Ivonildes RibeiroThroughout history in various situations was necessary to determine the area of a circle and those moments mathematicians were led to test their creativity and skills. There were several ways to determine the area of a circular region developed until today. Some theory was created, directly or indirectly, related to this issue as the problem of squaring the circle and the number pi.Item Uma introdução a análise real: funções contínuas não diferenciáveis e fractais(Universidade Federal de Goiás, 2016-05-11) Rodrigues, Henrique Carvalho; Cruz, José Yunier Bello; http://lattes.cnpq.br/8377200040018415; Cruz, José Yunier Bello; http://lattes.cnpq.br/8377200040018415; Rodrigues , Paulo Henrique de Azevedo; Vasconcelos, José Eder Salvador deThis work has as main objective the study of non-differentiable functions at all points of your domain and its relation to the construction of fractals. We have introduced important definitions and theorems of analysis for the study of non-differentiable func-tions. The subjects studied include sequences, convergence, balls, continuity and series of functions. We built examples of continuous functions without derivatives and the relationship of this process with the construction of some fractals.Item Estratégias discretas em teoria dos jogos(Universidade Federal de Goiás, 2014-04-11) Sobrinho, Carlos Alberto Silva; Cruz, José Yunier Bello; http://lattes.cnpq.br/8377200040018415; Cruz, José Yunier Bello; Sandoval, Wilfredo Sosa; Baumann, Luis Rodrigo FernandesIn this work we have exposure to some elements of game theory and certain resolution procedures games using matrices, probability and especially optimization, ie, we optimize the moves with mathematical background. For this we will use a Theorem, two Propositions and discuss several examples to game theory, applying what we are working and show how one can proceed in several games so that the reader can understand and use such a theory. The objective is to disseminate the ideas of game theory, which has applications in several areas, including economy and military art.Item Construções geométricas e os problemas de apolônio(Universidade Federal de Goiás, 2013-03-22) Vieira, Mariana Araújo; Cruz, José Yunier Bello; http://lattes.cnpq.br/8377200040018415; Cruz, José Yunier Bello; Seimetz, Rui; Martins, Ivonildes RibeiroThis paper aims to present the main problems of Apollonius....