<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The article introduces simple continued fractions. They are defined as an infinite sequence of integers. The characterization of rational numbers in terms of simple continued fractions is shown. We also give definitions of convergents of continued fractions, and several important properties of simple continued fractions and their convergents.</p></abstract>

The article introduces simple continued fractions. They are defined as an infinite sequence of integers. The characterization of rational numbers in terms of simple continued fractions is shown. We also give definitions of convergents of continued fractions, and several important properties of simple continued fractions and their convergents.

Simple Continued Fractions and Their Convergents

Qingdao University of Science and Technology, China

Institute of Computer Science, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland

Formalized Mathematics

{"article-title":"Simple Continued Fractions and Their Convergents"}

The article introduces simple continued fractions. They are defined as an infinite sequence of integers. The characterization of rational numbers in terms of...

Simple Continued Fractions and Their Convergents

Published Online: Jun 09, 2008

Page range: 71 - 78

DOI: https://doi.org/10.2478/v10037-006-0009-9

This content is open access.