Graduation Year
Spring 2013
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Chris Towse
Terms of Use & License Information
Rights Information
© 2013 Julia J. Ogburn
Abstract
Newton polygons are constructions over the p-adic numbers used to find information about the roots of a polynomial or power series. In this the- sis, we will first investigate the construction of the field Qp on the p-adic numbers. Then, we will use theorems such as Eisenstein’s Irreducibility Criterion, Newton’s Method, Hensel’s Lemma, and Strassman’s Theorem to build and justify Newton polygons.
Recommended Citation
Ogburn, Julia J., "Roots of Polynomials: Developing p-adic Numbers and Drawing Newton Polygons" (2013). Scripps Senior Theses. 295.
https://scholarship.claremont.edu/scripps_theses/295
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
