La teoría de campos aplicada en los tres problemas geométricos

Abstract

The Escuela Superior Politécnica de Chimborazo does not register any evidence on of the existence of bibliographic material on the field theory which is applied to the demonstration of insoluble geometric problems, which makes it difficult for students interested in understanding and expanding their mathematical knowledge to initiate their research. Therefore, the aim of the current research work was to analyze the field theory, through a specialized bibliographic review, in order to write a paper on the insolubility of geometric problems. For this purpose, documentary-type research with a qualitative approach and descriptive level was considered, as well as Latex text editor for its writing. The final result was a monograph entitled: Field theory applied to the three geometric problems, which consists of four chapters. The first chapter has to do with the rings and fields topics. The second chapter explores polynomial rings. The third chapter focuses on field extensions and finally, the fourth chapter covers the proof of the insolubility of the three geometric problems. Thus, it is concluded that by means of the analysis of the field theory, it was possible to demonstrate the insolubility of the three classical geometric problems of the ancient Greece