Investigación documental sobre el décimo problema de Hilbert

Abstract

Since Hilbert's Tenth Problem was posed and solved, no reference has been found documentary that serves as a guide to understand the most important topics in the resolution of the problem, therefore, the need arises to carry out a documentary investigation with critical analysis of Hilbert's Tenth Problem as a Curricular Integration Work, in order to help the mathematics students of the Higher Polytechnic School of Chimborazo to understand the problem in depth. To achieve this objective, a research was carried out documentary, of a descriptive nature and qualitative approach, a thorough reading of the issue; in books, articles, and internet pages; of all the material collected was preceded select those that would help students with little experience in the subject. For the writing the monograph, its own scientific writing styles were generated in order to facilitate the readers' understanding using the LATEX text editor; As a result, the monograph is left titled: Notes on Hilbert's Tenth problem where the Tenth is written and analyzed Hilbert's problem in a descriptive and short way for young mathematicians, in addition to a extensive bibliography that will serve to deepen topics related to the problem.