Continued fractions with some computer applications

Date of Publication

2010

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics with specialization in Business Applications

Subject Categories

Physical Sciences and Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Sonia Y. Tan

Defense Panel Chair

Kristine Joy E. Carpio

Defense Panel Member

Mark Anthony A. Garcia
Mark Oyelle L. Mordeno

Abstract/Summary

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.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU16013

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

vi, 103 leaves ; 28 cm.

Keywords

Continued fractions

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