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2014•Unpublished venueRequires access

Fermat's Last Theorem

William C Forcier

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Fermat's Last Theorem, Calculus (dental), Mathematics, Discrete mathematics, Medicine, Dentistry

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