Medida de Lebesgue em ℝ e integração

Abstract

This work consist in an introdutory study about Mesuare and Integration Theory, where will be discussed some of the fundamental topics of the Theory. In the first chapters, we will present the reader the construction of the Lebesgue Unidimensional Measure, the convergence theorems related to Lebesgue integration over any measure and the construction of Lp. Spaces, attending to all the details. These results compose parts of the contents that we need to solve two Ordinary Differential Equations problems discussed in the last chapter of this work.