Coleções nesta comunidade

Submissões recentes

  • 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 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 ...
  • Álgebras com identidades polinomiais 

    Massano, Isabela Monteiro (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 04/09/2023)
    In this work, basic definitions and results on Algebras with Polynomial Identities are introduced, some classic results of the theory that involve them are stated and demonstrated, such as the Amitsur-Levitzki Theorem, ...
  • Uma breve introdução à Teoria das PI-álgebras 

    Luccas, Luis Felipe dos Santos (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 05/04/2023)
    The goal of this undergraduate thesis is to study some introdutory concepts and results of the PI-algebras theory. In particular, as main results, we describe the polinomial identities of the Grassmann algebra and 2 x 2 ...
  • 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 ...
  • O Teorema de classificação de superfícies fechadas 

    Souza, Gustavo Luciano de (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 28/09/2022)
    In this work we will study some concepts of algebraic topology such as fundamental group and simplicial complexes, then we will present a proof of the closed surface classification theorem.
  • Geometria Conforme e Invertibilidade Global 

    Silva, Rodrigo Thomaz da (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/06/2021)
    This work contains the studies done to the reading of the paper ``Conformas geometry, Euler numbers, and global invertibility in higher dimensions'' de Frederico Xavier [4], as well as a detailed study of the mentioned ...
  • 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 geometria diferencial e à análise complexa 

    Silva, Rodrigo Thomaz da (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/01/2021)
    The paper "Conformal geometry, Euler numbers, and global invertibility in higher dimensions”, by Frederico Xavier, crosses different areas of Mathematics in order to obtain its main result. Among them we have Differential ...
  • Uma proposta de análise de desempenho de estudantes do ENEM 

    Novaes, Adenilson Almeida de (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 07/01/2021)
    In the international education field, it is relevant to predict the students' performance for future courses and/or disciplines. In that matter, Rajalaxmi et al. (2019), Abledu (2012) and Gadhavi, Patel (2017) works show ...
  • 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 ...
  • O ensino de polinômios e gráficos na educação básica 

    Sato, Humberto Domingues Thiago (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 11/12/2019)
    In this monography, we study polynomial functions, starting with a brief historical research about how the general solutions of the first to third degree polynomial equations were constructed, then we proceed to analyze ...