Um breve estudo sobre equações diofantinas.

Abstract

This paper is a brief study and research on some Diophantine Equations. These equations are known by such a name in honor of the Diophantus of Alexandria, known for his contributions to Algebra and Number Theory and for his principal work, the book Arithmetic. Diophantine equations are polynomial equations that allow two or more variables to assume only integer values and can come in many different forms, and therefore most of them must be analyzed individually to determine whether or not they have a solution. We seek to present some Diophantine Equations, including some famous and well-known in the history of mathematics, such as Fermat's Last Theorem. We also seek to present possible approaches to Diophantine Equations in Basic Education through a didactic sequence.