Juegos de evasión

Abstract

The goals of the work are twofold. The first one is about the background of mathematics of pursuit and evasion, models that are known as Chases and Escapes games. Five problems are solved using clasic techniques from Mathematic Analysis, and a sixth one of a different nature where its solution is described from a probabilistic point of view. The second one, of divulgative character and realized in colaboration with an Architecture student, consists in the design of a real park where the problems mentioned before can be brought into practise. The park, which is supposed to be placed in Seville, becomes as an idea to bring closer the world of mathematics to people from the city throughout a pleasant experience, showing that mathematics attached to a logical reasoning are a powerfull tool.