Rowan Digital Works - STEM Student Research Symposium Posters: An investigation into Continued Fraction Expansions of √ N

 

Date of Presentation

4-29-2025 1:00 PM

College

College of Science & Mathematics

Faculty Sponsor(s)

Abdulkadir Hassen

Poster Abstract

A continued fraction represents a number using an integer part and a sequence of positive integers in the denominators, with all numerators equal to one. This research examines the infinite continued fraction expansions of square roots of non-perfect squares. We observed and proved patterns in these expansions.

Disciplines

Mathematics

Document Type

Poster

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Apr 29th, 1:00 PM

An investigation into Continued Fraction Expansions of √ N

A continued fraction represents a number using an integer part and a sequence of positive integers in the denominators, with all numerators equal to one. This research examines the infinite continued fraction expansions of square roots of non-perfect squares. We observed and proved patterns in these expansions.