Introdução à Teoria da Medida

Abstract

This monograph consists of a study on some fundamental concepts of Measure Theory, such as σ-algebras and measure. In this way, the concepts and properties of algebras and σ-algebras will be seen, as well as the types of measures that can be derived from them. In addition, the concept of measure spaces, measurable functions and integration of these types of functions will also be presented. Finally, an application of such concepts in Ergodic Theory will be presented.