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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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.

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 ...

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 ...