Utilização dos métodos Vieta Jumping e Descida Infinita na solução de equações diofantinas e problemas envolvendo divisibilidade
The dissertation explores the mathematical concepts and results of the Infinite Descent and Vieta Jumping methods for solving Diophantine equations and problems concerning divisibility. The main objective is to structure the results, proposing their proper use in the approach to classical problems a...
| Autor: | |
|---|---|
| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Brasil |
| Institución: | Universidade Tecnológica Federal do Paraná (UTFPR) |
| Repositorio: | Repositório Institucional da UTFPR (da Universidade Tecnológica Federal do Paraná (RIUT)) |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.utfpr.edu.br:1/3851 |
| Acceso en línea: | http://repositorio.utfpr.edu.br/jspui/handle/1/3851 |
| Access Level: | acceso abierto |
| Palabra clave: | Olimpíadas - Matemática Matemática - Competições Equações diofantinas Fermat, Último teorema de Prática de ensino Olympics - Mathematics Mathematics - Competitions Diophantine equations Fermat's last theorem Student teaching CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA Matemática |
| Sumario: | The dissertation explores the mathematical concepts and results of the Infinite Descent and Vieta Jumping methods for solving Diophantine equations and problems concerning divisibility. The main objective is to structure the results, proposing their proper use in the approach to classical problems and in the approach to problems of the International Mathematical Olympiads. The aim is to facilitate the use by students and teachers of programs such as OBMEP and PROFMAT, specially those involved in Mathematics Olympiads. |
|---|