Um estudo dos números complexos e quaterniônicos utilizando o software GeoGebra

Abstract

The present work explores the complex and quaternionic number sets using a historical, algebraic and geometric approach. GeoGebra software is used to perform the geometric study, which is a technology with great potential in teaching mathematics. With GeoGebra, the study of certain properties and operations was facilitated, allowing a more significant and dynamic analysis of the studied sets. In relation to history, it were approached the contributions from Scipione Del Ferro (who first deduced a formula for the cubic ones) to Gibbs and Heaviside (that with its vectorial system rivaled the quaternions of Hamilton). The methodology used was the bibliographical research. The main sources consulted were Profmat's dissertations and consecrated books on mathematics. In the consulted database were found multiple proposals for the teaching of complex numbers. As for the quaternions, there are few dissertations on the subject.