Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
5-2023
Committee Chair or Co-Chairs
Rodney Keaton
Committee Members
Robert Gardner, Anant Godbole
Abstract
This thesis introduces the p-adic metric on the rational numbers. We then present the basic properties of this metric. Using this metric, we explore conic sections, viewed as equidistant sets. Lastly, we move on the sequences and series, and from there, we define p-adic expansions and the analytic completion of Q with respect to the p-adic metric, which leads to exploring some arithmetic properties of Qp.
Document Type
Thesis - unrestricted
Recommended Citation
Zaoui, Abdelhadi, "The p-Adic Numbers and Conic Sections" (2023). Electronic Theses and Dissertations. Paper 4175. https://dc.etsu.edu/etd/4175
Copyright
Copyright by the authors.