Solving pell's equation using continued fractions
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Date
2019
Authors
Matibe, Vhuhwavho
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Abstract
The aim of this dissertation is to explore the Pell equation, through studying
one method of solving it that is believed to have been initially used to nd
good approximations to the square root of square free positive integers, namely
the continued fraction [8]. We further look at its signi cance by considering a
number of its applications.
Description
A Dissertation Submitted to the Faculty of Science at
The University of Witwatersrand
to fulfillment of the Requirements for the Degree of
Master of Science
School of Mathematics
March 2019