Convergents of continued fractions and their application to diophantine equations (with computer program)
Date of Publication
1994
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
The study presents the theory of convergents of simple finite continued fractions and diophantine equations and the relationship between them. Convergents have their own unique patterns and are governed by certain theorems. The researchers present a method of solving linear diophantine equations using convergents based on the article of Joseph Holmes, entitled Continued Fractions.This study creates a pascal program that generates the convergents of a simple finite continued fraction and vice versa. Thus, given a linear diphantine equation, the program can be used to get a particular integral solution using the method of solution discussed in the paper.
Abstract Format
html
Language
English
Format
Accession Number
TU06641
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
77 numb. leaves
Keywords
Convergence; Fractions, Continued; Diophantine analysis; Programming (Mathematics); Numbers, Theory of; Equations--Numerical solutions
Recommended Citation
Asuit, F., & Luis, P. (1994). Convergents of continued fractions and their application to diophantine equations (with computer program). Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16160
