Mathematical Structures of Joseon mathematician Hong JeongHa

다국어 초록 (Multilingual Abstract)

From the mid 17th century, Joseon mathematics had a new beginning and developed along two directions, namely the traditional mathematics and one influenced by western mathematics. A great Joseon mathematician if not the greatest, Hong JeongHa was able to complete the Song-Yuan mathematics in his book GuIlJib based on his studies of merely Suanxue Qimeng, YangHui Suanfa and Suanfa Tongzong. Although Hong JeongHa did not deal with the systems of equations of higher degrees and general systems of linear congruences, he had the more advanced theories of right triangles and equations together with the number theory. The purpose of this paper is to show that Hong was able to realize the completion through his perfect understanding of mathematical structures.

참고문헌 (Reference)

1 홍성사, "飜積과 益積의 歷史" 한국수학사학회 18 (18): 39-54, 2005

2 金容雲, "韓國科學技術史資料大系 數學編" 驪江出版社 1985

3 홍성사, "洪正夏의 數論" 한국수학사학회 24 (24): 1-6, 2011

4 홍성사, "朝鮮의 算學訓導와 算學敎授" 한국수학사학회 19 (19): 1-20, 2006

5 김창일, "朝鮮算學者洪正夏의 系譜" 한국수학사학회 23 (23): 1-20, 2010

6 "朝鮮王朝實錄"

7 홍성사, "劉益과 洪正夏의 開方術" 한국수학사학회 24 (24): 1-13, 2011

8 郭書春, "九章算術 譯注" 上海古籍出版社 2009

9 洪正夏, "九一集" 東北大學 圖書館 1724

10 郭書春, "中國科學技術史" 科學出版社 2010

11 郭書春, "中國科學技術典籍通彙" 河南敎育出版社 1993

12 HONG Sung Sa, "Theory of Equations in the history of Chosun Mahtematics" 719-731, 2012

13 홍성사, "Mathematical Structures and SuanXue QiMeng" 한국수학사학회 26 (26): 123-130, 2013

14 홍성사, "Division Algorithm in SuanXue QiMeng" 한국수학사학회 26 (26): 323-328, 2013

15 홍성사, "18世紀 朝鮮의 句股術" 한국수학사학회 20 (20): 1-22, 2007