Class Year

2014

Date

4-23-2014

Document Type

Thesis

Distinguished Thesis

Yes

Degree Name

Bachelor of Arts (BA)

Department or Program

Mathematics

First Advisor

David Yuen

Second Advisor

Enrique Treviño

Third Advisor

Jason A. Cody

Abstract

First conjectured by Fermat in the 1630s, Fermat's Last Theorem has cause a great deal of advancement in the field of number theory. It would take the introduction of an entire new branch of mathematics in order to devise a proof for the rather simplistic looking equation. This document highlights the first major steps taken in proving the theorem, focusing on Kummer's proof for regular primes and the concepts that resulted. In particular Kummer's ideal numbers will be discussed as well as how they served as the precursors to ideals in ring theory.


Included in

Number Theory Commons

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