Números reais: conceitos e representações

Abstract

This work is mainly focused on the exploration of the concept of real numbers with emphasis on its decimal representation and correspondence with the straight. Its main feature is the use of a constructive process for numerical sets using definitions and axioms of Peano and Dedekind. Moreover, throughout the text, there is a clear search for the reader motivation with a large amount of examples, observations and suggestions for the use of computing resources before, during and after the introduction of new concepts, definitions and results.