본문 바로가기
KERD
논문KCI 등재

Mathematical Structures and SuanXue QiMeng

0

조회

0

다운로드

3

인용

0

참고문헌

키워드

주제분류수학

초록

It is well known that SuanXue QiMeng has given the greatest contribution to the development of Chosun mathematics and that the topics and their presentation including TianYuanShu in the book have been one of the most important backbones in the developement. The purpose of this paper is to reveal that Zhu ShiJie emphasized decidedly mathematical structures in his SuanXue QiMeng, which in turn had a great influence to Chosun mathematicians’ structural approaches to mathematics. Investigating structural approaches in Chinese mathematics books before SuanXue QiMeng, we conclude that Zhu’s attitude to mathematical structures is much more developed than his precedent ones and that his mathematical structures are very close to the present ones.

Abstract

It is well known that SuanXue QiMeng has given the greatest contribution to the development of Chosun mathematics and that the topics and their presentation including TianYuanShu in the book have been one of the most important backbones in the developement. The purpose of this paper is to reveal that Zhu ShiJie emphasized decidedly mathematical structures in his SuanXue QiMeng, which in turn had a great influence to Chosun mathematicians’ structural approaches to mathematics. Investigating structural approaches in Chinese mathematics books before SuanXue QiMeng, we conclude that Zhu’s attitude to mathematical structures is much more developed than his precedent ones and that his mathematical structures are very close to the present ones.

참고문헌 (18)

  1. 金容雲, "韓國科學技術史資料大系, 數學編" (1985), 驪江出版社
  2. 郭書春, "九章筭術譯注" (2009), 上海古籍出版社
  3. 郭書春, "《中國科學技術典籍通彙》數學卷全五卷" (1993), 河南敎育出版社
  4. 靖玉樹, "中國歷代算學集成 上, 中, 下" (1994), 山東人民出版社
  5. 吳文俊, "中國數學史大系" (1999), 北京師范大學出版社
  6. 周瀚光, "劉徽評傳, 附秦九韶, 李冶, 楊輝, 朱世傑評傳" (1994), 南京大學出版社
  7. 孔國平, "楊輝《詳解九章算法》初探", 數學史硏究文集, 4, pp.36~41 (1993), 科學出版社
  8. 허민, "산학계몽과 묵사집산법의 비교", 한국수학사학회지, 21(1), pp.1~16 (2008), 한국수학사학회
  9. Hong Sung Sa, "Theory of Equations in the history of Chosun Mahtematics", Proceeding Book 2, The HPM Satellite Meeting of ICME-12, pp.719~731 (2012)
  10. 홍성사, "朝鮮 算學의 堆術", 한국수학사학회지, 19(2), pp.1~24 (2006), 한국수학사학회
  11. 홍성사, "朝鮮 算書 算學啓蒙註解", 한국수학사학회지, 22(2), pp.1~12 (2009), 한국수학사학회
  12. 홍성사, "Approximate Solutions of Equations in Chosun Mathematics", 한국수학사학회지, 25(3), pp.1~14 (2012), 한국수학사학회[DOI]
  13. 홍성사, "18世紀 朝鮮의 句股術", 한국수학사학회지, 20(4), pp.1~22 (2007), 한국수학사학회
  14. 홍성사, "TianYuanShu and Numeral Systems in Eastern Asia", 한국수학사학회지, 25(4), pp.1~10 (2012), 한국수학사학회
  15. 김옥자, "17세기 朝鮮 算學과《默思集筭法》", 한국수학사학회지, 22(4), pp.15~28 (2009), 한국수학사학회
  16. 김영욱, "朴의 算學原本", 한국수학사학회지, 18(4), pp.1~16 (2005), 한국수학사학회
  17. 이창구, "Chinese Mathematics in Chosun", 한국수학사학회지, 26(1), pp.1~9 (2013), 한국수학사학회
  18. 윤혜순, "算學啓蒙과 黙思���算���의 수학 교육적 구성과 구조", 한국수학사학회지, 25(4), pp.11~19 (2012), 한국수학사학회

관련 논문AI추천

이 간행물의 다른 논문 (5건)