Banca de DEFESA: GABRIEL BARBOSA DE ARGOLO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : GABRIEL BARBOSA DE ARGOLO
DATA : 10/02/2020
HORA: 13:30
LOCAL: Instituto de Matemática e Estatística - IME
TÍTULO:

Continued Fractions and Aplications

PALAVRAS-CHAVES:

Real Numbers; Racional and Irracional Numbers, Euclid´s algorithm, Diophantine Equation, Linear Congruent; Approximations, Pell Equation

PÁGINAS: 136
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
RESUMO:

This present work shows, from definition and examples, an alternative form of representing of real numbers by continued fractions. A finite continued fraction represents a racional number and the principal tool for representing a racional number as a continued faction is the Euclid`s algorithm. With this tool for representing continued fractions, we can introduce the study of continued fractions in college school.

We can represent racional numbers in an exact form while for irracionais numbers we obtain excellent approximations. As principais applicatios of continued fractions are: Diophantine linear equation and equation of pell, but exist other interesting applications, like the best approximation of logarithms , applications in probability and in the choatic theory.

MEMBROS DA BANCA:
Interno(a) - 1521617 - JOSEPH NEE ANYAH YARTEY
Interno(a) - 148227 - VINICIUS MOREIRA MELLO
Externo(a) à Instituição - CLAUDIA RIBEIRO SANTANA - UESC-BA