Solving Pell's equation with continued fractions

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dc.contributor.authorUnger, Jesse
dc.date.accessioned2015-02-16T19:50:00Z
dc.date.available2015-02-16T19:50:00Z
dc.date.issued2009en
dc.description.abstractIn this report we will use continued fractions to solve Fell's equation x² - Dy² = 1 We explore some of the properties of simple continued fractions, discuss the relationship between reduced quadratic irrationals and purely periodic simple continued fractions and then give the solution to Fell's and the negative Pell equation. We close by summarizing the entire process in the PQa algorithm which also shows us how to solve some Pell-like equations.en
dc.identifier.urihttp://hdl.handle.net/10092/10158
dc.language.isoen
dc.publisherUniversity of Canterbury. Mathematics and Statisticsen
dc.relation.isreferencedbyNZCUen
dc.rightsCopyright Jesse Ungeren
dc.rights.urihttps://canterbury.libguides.com/rights/thesesen
dc.subject.anzsrcFields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490401 - Algebra and number theoryen
dc.titleSolving Pell's equation with continued fractionsen
thesis.degree.grantorUniversity of Canterburyen
thesis.degree.levelBachelorsen
thesis.degree.nameBachelor of Scienceen
uc.collegeFaculty of Engineeringen
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