Graduation Year

Spring 2013

Document Type

Campus Only Senior Thesis

Degree Name

Bachelor of Arts



Reader 1

Chris Towse

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© 2013 Julia J. Ogburn


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.

This thesis is restricted to the Claremont Colleges current faculty, students, and staff.