Congruencias olímpicas

Abstract

No presente traballo de fin de grao tratarase de dar un contexto teórico a determinados problemas das Olimpíadas Matemáticas, ademais de presentar solución a unha selección deles. Na parte teórica tratarase de definir que é unha congruencia, como resolver as congruencias e sistemas de congruencias de primeiro grao. Na práctica resolveranse problemas de congruencias das Olimpíadas Matemáticas a niveis nacionais e internacionais ademais de algúns problemas de intereseThe present final degree project will give a theorical context to some of the olympiad problems, It will also present a solution to a selection of them. In the theoretical part It will be defined what a congruence is, how first degree congruences and systems can be solved. In the practical part some problems of congruences from the mathematical olympiads in a national and international levels with some other interesting problems will be solved