Teorema do resto chinês e suas aplicações

Abstract

This research was carried out with the aim of demonstrating the Chinese Remainder Theorem, in order to the Chinese Remainder Theorem, in order to simplify and help some applications involving systems of linear systems. The theorem has applications in both basic and higher education. this work was able to contribute to the applications of the Chinese Remainder Theorem. In order to the historical context of the arithmetic theory of numbers and the Chinese Remainder Theorem. and the Chinese Remainder Theorem, in order to understand the origin of the problem that gave rise to the Theorem. In addition to the historical aspect, it was necessary to study and explain the concepts of concepts of Divisibility, Diophantine Equations, Congruences and Linear Congruences to support the of the demonstrations made, and as a consequence in the use of the applications presented in this work. With regard to the results obtained, they were favorable, given that it was possible to demonstrate and solve applications of the Chinese Remainder Theorem. The work is based on the concepts presented by the authors Filho (1981); Rosen (2011); Glória (2019); Santos (2020). Keywords: Linear congruence system. Chinese remainder theorem. Linear congruence.