Hong JeongHa’s Tianyuanshu and Zhengcheng Kaifangfa
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Tianyuanshu and Zengcheng Kaifangfa introduced in the Song–Yuan dynasties andtheir contribution to the theory of equations are one of the most important achievementsin the history of Chinese mathematics. Furthermore, they became the mostfundamental subject in the history of East Asian mathematics as well. The operations,or the mathematical structure of polynomials have been overlooked by traditionalmathematics books. Investigation of GuIlJib (九一集) of Joseon mathematicianHong JeongHa reveals that Hong’s approach to polynomials is highly structural. For the expansion ofΠnk=1(x + ak), Hong invented a new method whichwe name Hong JeongHa’s synthetic expansion. Using this, he reveals that the processesin Zhengcheng Kaifangfa is not synthetic division but synthetic expansion.
Abstract
Tianyuanshu and Zengcheng Kaifangfa introduced in the Song–Yuan dynasties andtheir contribution to the theory of equations are one of the most important achievementsin the history of Chinese mathematics. Furthermore, they became the mostfundamental subject in the history of East Asian mathematics as well. The operations,or the mathematical structure of polynomials have been overlooked by traditionalmathematics books. Investigation of GuIlJib (九一集) of Joseon mathematicianHong JeongHa reveals that Hong’s approach to polynomials is highly structural. For the expansion ofΠnk=1(x + ak), Hong invented a new method whichwe name Hong JeongHa’s synthetic expansion. Using this, he reveals that the processesin Zhengcheng Kaifangfa is not synthetic division but synthetic expansion.
참고문헌 (17)
- 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
- 郭書春, "中國科學技術史" (2010), 科學出版社
- 洪正夏, "九一集", 서울大學校圖書館
- 洪正夏, "九一集", 東北大學圖書館
- 李培業, "益古演段釋義" (2009), 陝西科學技術出版社
- 朴繘, "算學原本", 高麗大學校圖書館
- Takebe Katahiro, "Japanese Commentary to Suanxue Qimeng"
- Hong Sung Sa, "Theory of Equations in the history of Chosun Mathematics", Proceeding Book 2, The HPM Satellite Meeting of ICME-12, pp.719~731 (2012)
- 홍성사, "朝鮮의 算學訓導와 算學敎授", 한국수학사학회지, 19(3), pp.1~20 (2006), 한국수학사학회
- 홍성사, "18世紀 朝鮮의 句股術", 한국수학사학회지, 20(4), pp.1~22 (2007), 한국수학사학회
- 홍성사, "洪正夏의 數論", 한국수학사학회지, 24(4), pp.1~6 (2011), 한국수학사학회
- 김영욱, "朴의 算學原本", 한국수학사학회지, 18(4), pp.1~16 (2005), 한국수학사학회
- 홍성사, "劉益과 洪正夏의 開方術", 한국수학사학회지, 24(1), pp.1~13 (2011), 한국수학사학회
- 홍성사, "TianYuanShu and Numeral Systems in Eastern Asia", 한국수학사학회지, 25(4), pp.1~10 (2012), 한국수학사학회
- 홍성사, "Mathematical Structures of Joseon mathematician Hong JeongHa", 한국수학사학회지, 27(1), pp.1~12 (2014), 한국수학사학회[DOI]
- 김창일, "朝鮮算學者洪正夏의 系譜", 한국수학사학회지, 23(3), pp.1~20 (2010), 한국수학사학회
- 김영욱, "增乘開方法, 13世紀中國의 計算法", Proceeding, 한국수학사학회 연례학술발표대회, pp.13~14 (2009)