• Superfícies de Weingarten no Espaço Hiperbólico 

      Belli, Rafael da Silva (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/06/2020)
      Desde o surgimento da definição de superfícies parametrizadas, foi questionado sobre suas propriedades que independem da parametrização. Propriedades essas que caracterizam objetivamente a geometria dessa família facilitando ...
    • Uma introdução à teoria de representação para grupos finitos 

      Gomes, Vinicius Gonçalves da Luz (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/01/2021)
      This work aims to introduce the Theory of Representation of finite groups, presenting Schur’s Lemma and Maschke’s Theorem, two important results to the theory. It also deals with the isotopic decomposition of a representation ...
    • Matemática financeira no cotidiano dos brasileiros 

      Silva, Conrado Valdovando da (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/01/2021)
      This monograph is a study of topics on Financial Education – its history, the nowadays brazilian panorama on this subject, the National Strategy on Financial Education (ENEF) and the DICTs (Digital Information and Communication ...
    • Poliedros regulares e semirregulares 

      Pafume, Mateus Rodrigo (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 28/04/2021)
      The subject os this study is a retelling of the Steps I and II of the book “Matem@tica na Pr@tica, Geometria espacial: módulo 2”, by Cláudio Carlos Dias, João Carlos Vieira Sampaio, Marlusa Benedetti da Rosa, Tomás Edson ...
    • Geometria Diferencial via Referenciais Móveis 

      Belli, Rafael da Silva (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/06/2021)
      In this work, we present a study on the theory of differential geometry of surfaces with a language of moving references. At first, we will introduce some groups of matrices and their actions in Euclidean space. Once this ...
    • Introdução à teoria da medida e integração 

      Maekawa, Lucas Hideo (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 27/11/2022)
      The Lebesgue measure is an important concept with applications in the Lebesgue integral, in the axiomatization of probabilities, and in the definion of integral of spaces more general than the euclidian spaces. This essay ...
    • Ladrilhamentos regulares e semirregulares do plano 

      Nascimento, Larissa Loiola do (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 24/11/2021)
      The tiling technique consists of filling the plane with geometric figures without overlapping or empty spaces. Although this technique is quite old, the science is recent and contains aspects that have not yet been developed ...
    • A representação decimal fracionária de números reais: aspectos teóricos e históricos 

      Abreu, Lia Oliveira de (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 21/06/2021)
      In this work we carry out a study on the history and concepts of development of the decimal representation of real numbers, which probably started with works by Simon Stevin in La Theinde (The tenth) in 1585 (STEVIN, 1997), ...
    • Criptografia RSA: aspectos históricos e matemáticos 

      Camargo, Raphael Vinícius Gonçalves (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 24/06/2021)
      This work studies aspects of RSA public key cryptography and its relationship with number theory, in particular with the properties of prime numbers. The methodology is based on bibliographical research. The study is based ...
    • Utilização do modelo pictórico da Matemática de Singapura em resoluções de problemas para os 5o e 6o anos do ensino fundamental, dentro da proposta curricular do estado de São Paulo 

      Sprovieri, Luis Henrique (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/11/2021)
      Teaching mathematics is a challenge for both educators and students. It is usual to notice the lack of interest of students in Mathematics, especially when it is associated with letters and symbols, missing its real meaning. ...
    • A construção dos números reais desenvolvida por Richard Dedekind 

      Zanni, Rafaela Aparecida Camarinho (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/04/2021)
      In this work, we will study the emergence of incommensurability during classical antiquity and understand how this discovery was important for the development of real number theory during the arithmetic movement of analysis. ...
    • O grau de uma aplicação: uma abordagem via aplicação diferencial 

      Melo, Olavo Queiroga de (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 01/09/2023)
      In this work, we study the concepts of degree and local degree for maps between manifolds. Furthermore, we define the Poincaré-Hopf index and study some relevant proprieties of this index such as the famous Poincaré-Hopf ...
    • Um estudo sobre índices de campos de vetores 

      Bacelar, Leandro de Jesus Nascimento (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 03/04/2023)
      One of the main goals of this project is to study the index of vector fields in compact surfaces and present the Poincar´e-Hopf Theorem, remarking that such a result connects topological elements to geometric objects.
    • O homem que calculava: uma abordagem recreativa para o ensino de matemática e suas dramatizações em sala de aula 

      Manzini, Tatiana Agenor (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 30/09/2022)
      The motivation and unfolding of this monograph is to address 4 problems from the book The Man Who Counted, analyzing and characterizing the conceptions that the author had in his time and that persist until today, for ...
    • Aspectos históricos e matemáticos da resolução de equações de 3o., 4o. e 5o. graus 

      Calcia, Igor Perussi (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/09/2023)
      During the years from 1530 to 1576, there were great mathematical advances in Europe, one of the greatest being the great duel of the resolution of the cubic equations, fought between Niccolò Tartaglia and Gerolamo Cardano, ...