Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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정수론적 방법에 의한 $\sqrt{2}$의 무리수성 증명에 내재된 실수의 완비성 공리

  • 도종훈 (서울대학교 대학원 수학교육과)
  • Published : 2004.02.01
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Abstract

In this paper, we analyse several number theoretical proofs of the irrationality of $\sqrt{2}$ and reveal that these proofs are implied by The Completeness Axiom of the real number system.

Keywords

References

  1. 정수론 김응태;박승안
  2. 수학의 기초와 기본 개념 Eves,H.;허민(역);오혜영(역)
  3. American Mathematical Mothly v.63 The irrationality of $\sqrt{2}$ Gauntt,R.;Rabson,G.
  4. The College Mathematics Journal v.22 no.2 Another proof of the irrationality of $\sqrt{2}$ Gentile,E.R.
  5. American Mathematical Monthly v.62 The irrationality of $\sqrt{2}$ Halfar,E.
  6. Conjecture and Proof Laczkovich,M.
  7. Number Theory in Science and Communication Schroeder,M.R.