Stomachion: uma abordagem sobre a História da Análise Combinatória

Abstract

This work aims exploring Mathematics History in the scope Combinatorics and verify that Archimedes' Stomachion is the first record of studies on the subject. We introduce the Stomachion resolution and propose its use in Basic Education activities, since it is a source of studies on Geometry, Combinatorial Analysis and Logic. We want to bring the History of Mathematics to students in order to show that Mathematics is a changing science and that it can be used as a didactic resource. The work was developed through bibliographic research where we analyzed books, dissertations, articles and works published on official websites on the History of Combinatorics and Archimedes' Palimpsest. The book The Codex Arquimedes, by Reviel Netz and William Noel, is the basis for the proposed investigation. We end this work by demystifying that Stomachion is just a game and that it can be used as a nucleus for the development of other mathematical areas.