• 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 ...
    • 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 ...
    • Uma introdução aos inteiros gaussianos 

      Ferreira, Raphael Elias Toledo (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/11/2021)
      This monograph presents the principles of number theory, formally establishing important arithmetic facts that characterize the systems in question. It sought to develop theory in an axiomatic way, from the principles of ...
    • Os reflexos do desenvolvimento da álgebra para o ensino de equações no ensino básico 

      Pereira, Ayana Cristina Anselmo (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 24/06/2021)
      This research aims to offer contributions to Mathematics Education focused on teaching and learning algebraic equations, in an attempt to present the trajectory of algebra through the contributions of some peoples throughout ...
    • 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 ...
    • 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 ...