CHOSUN

페르마의 마지막 정리

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Author(s)
조형서
Issued Date
2008
Abstract
Fermat's Last Theorem is one of the most important theories in mathematics history
to show that pure mathematics, Topology and Geometry are not the separated fields, but
the one theoretical body and they are dependent on each other.

Especially the development Topology such as Taxonomic Theory gave mathematicians a
whole mew motivation which they had never expected.

Even though the Fermat's Last Theorem was proved by Andrew Wiles using all the new
theories as possible, it couldn't be proved without E. Kummer, L. Mordell of Y.
Taniyama's studies.

However, it is true that the foundation of mathematics history has been prove by
Andrew Wiles who proves it in 1993.


In this paper, we find out the process of building an mathematical product through
the historical trace of Fermat's last theorem's birth and clarification.
Alternative Title
On Fermat's Last Theorem
Alternative Author(s)
Cho, Hyoung Seo
Affiliation
교육대학원 수학교육
Department
교육대학원 수학교육
Advisor
박순철
Awarded Date
2009. 2
Table Of Contents
목 차

ABSTRACT


제 1장. 논문개요
1

제 2장. 페르마의 마지막 정리의 유래와 연구내용․․․․․․․․․․․․․․․․․․․․․․․․․․․․
2

1. 페르마의 마지막 정리의 유래 ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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2. 페르마의 연구내용 ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
4

제 3장. 페르마의 마지막정리를 다루는데 필요한 기본정의 ․․․․․․․․․․
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1. 약수와 최대공약수 ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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2. 소수 ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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3. 합동 ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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4. Euler의 함수 ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
9

제 4장. 페르마의 마지막정리에 대한 구체적 경우의 증명 ․․․․․․․․․․․․․․․․․
10

제 5장. 페르마의 마지막 정리의 증명 도전사 ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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1. Leonhard Euler (1707∼1783 : 스위스) ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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2. Marie-Sophie Germain (1776 ∼1831 : 프랑스) ․․․․․․․․․․․․․․․․․․․․․․․․
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3. Ernst Eduard Kummer (18101893 : 독일) ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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4. Lewis Mordell (1888∼1972 : 영국) ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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5. Gerd Faltings (1954∼ : 독일) ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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6. Yutaka Taniyama(일본)와 G. Shimura(일본) ․․․․․․․․․․․․․․․․․․․․․․․․․
40

7. Gerhard Frey(독일)과 K. Ribet(미국) ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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8. Andrew Wiles (영국) ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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제 6장. 결론 ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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참고문헌 ․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․․
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Degree
Master
Publisher
조선대학교
Citation
조형서. (2008). 페르마의 마지막 정리
Type
Dissertation
URI
https://oak.chosun.ac.kr/handle/2020.oak/4978
http://chosun.dcollection.net/common/orgView/200000237879
Appears in Collections:
Education > Theses(Master)(교육대학원)
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