University of Illinois Urbana-Champaign

Parabolas infiltrating the Ford circles

Hutchinson, Suzanne C

Content Files
HUTCHINSON-THESIS-2015.pdf

Permalink

https://hdl.handle.net/2142/87952

Description

Title
Parabolas infiltrating the Ford circles
Author(s)
Hutchinson, Suzanne C
Issue Date
2015-05-28
Director of Research (if dissertation) or Advisor (if thesis)
Zaharescu, Alexandru
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Date of Ingest
2015-09-29T20:37:35Z
Keyword(s)
none
Abstract
After briefly discussing classical results of Farey fractions and Ford circles, we define and study a new family of parabolas in connection with Ford circles and discover some interesting properties that they have. Using these properties, we provide an application of such a family.
Graduation Semester
2015-8
Type of Resource
text
Permalink
http://hdl.handle.net/2142/87952
Copyright and License Information
Copyright 2015 Suzanne Hutchinson

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Graduate Dissertations and Theses at Illinois PRIMARY
Graduate Theses and Dissertations at Illinois
Dissertations and Theses - Mathematics