Abstract

The Farey Sequence of order n is the sequence made up of all non-negative irreducible proper fractions between 0 and 1, arranged in increasing order, with denominators not exceeding n. (Note that in this definition, order does not refer to the size of the sequence). The terms of the Farey Sequence have geometric applications that include the Farey Starburst and Ford Circles. In addition, the sequence can be found within a graphic representation of non-negative rational values called the Farey Tree, which is contained within the Stern-Brocot Tree.

Advisor

Bowen, Jennifer

Department

Mathematics

Disciplines

Applied Mathematics

Keywords

mathematics, number theory, farey sequence, ford circles

Publication Date

2013

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis

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© Copyright 2013 Alice C. Webb