Espejos de Möbius y su reflejo en las matemáticas

Abstract

What is the importance of the Möbius transforms in Möbius mirrors?, this is the main question of this monograph, but to be able to glimpse its answer it is first necessary to present the most important phenomena of optics, this with the intention of understanding precisely what effects light can present when it comes into contact with different media and materials, without forgetting that this work has a mathematical approach, so it seeks to make known the mathematics that supports these phenomena. Then a small introduction to the celestial body and the energy it emanates will be given, mainly to know where this theory is applied, and the last thing that is needed to understand, even superficially, the subject of Möbius mirrors, are the Möbius transforms. With this information, now we will be ready to face the Möbius mirrors, and their main characteristics, always from a mathematical point of view, which as presented in this monograph is the only way to give validity and certainty to the various theories and propositions present in each of the branches of scientific knowledge.