Continued fractions with some computer applications

This study is an exposition of Section 11.1 to 11.5 of Chapter 11, Continued Fractions of the book Number Theory with Computer Applications by Ramanu-jachary Kumanduri and Cristina Romero [6]. This paper focuses its discussion on studying the definitions and theorems, providing illustrative examples...

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Main Author: Clemente, Krizia Paula M.
Format: text
Language:English
Published: Animo Repository 2010
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Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/2444
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-34442021-06-28T02:03:43Z Continued fractions with some computer applications Clemente, Krizia Paula M. This study is an exposition of Section 11.1 to 11.5 of Chapter 11, Continued Fractions of the book Number Theory with Computer Applications by Ramanu-jachary Kumanduri and Cristina Romero [6]. This paper focuses its discussion on studying the definitions and theorems, providing illustrative examples and some applications on finite continued fractions, convergents, infinite continued fractions, quadratic irrationals and purely periodic continued fractions. Computer programs will be presented as an application for finding the finite continued fraction representation and infinite continued fraction representation of rational numbers and quadratic irrational number, respectively, as well as their convergents. 2010-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/2444 Bachelor's Theses English Animo Repository Continued fractions Physical Sciences and Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Continued fractions
Physical Sciences and Mathematics
spellingShingle Continued fractions
Physical Sciences and Mathematics
Clemente, Krizia Paula M.
Continued fractions with some computer applications
description This study is an exposition of Section 11.1 to 11.5 of Chapter 11, Continued Fractions of the book Number Theory with Computer Applications by Ramanu-jachary Kumanduri and Cristina Romero [6]. This paper focuses its discussion on studying the definitions and theorems, providing illustrative examples and some applications on finite continued fractions, convergents, infinite continued fractions, quadratic irrationals and purely periodic continued fractions. Computer programs will be presented as an application for finding the finite continued fraction representation and infinite continued fraction representation of rational numbers and quadratic irrational number, respectively, as well as their convergents.
format text
author Clemente, Krizia Paula M.
author_facet Clemente, Krizia Paula M.
author_sort Clemente, Krizia Paula M.
title Continued fractions with some computer applications
title_short Continued fractions with some computer applications
title_full Continued fractions with some computer applications
title_fullStr Continued fractions with some computer applications
title_full_unstemmed Continued fractions with some computer applications
title_sort continued fractions with some computer applications
publisher Animo Repository
publishDate 2010
url https://animorepository.dlsu.edu.ph/etd_bachelors/2444
_version_ 1772834605104103424