Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
권호 표지
DOI QR코드

DOI QR Code

Mathematical Structures of Joseon mathematician Hong JeongHa

조선(朝鮮) 산학자(算學者) 홍정하(洪正夏)의 수학적(數學的) 구조(構造)

  • Received : 2014.01.08
  • Accepted : 2014.02.08
  • Published : 2014.02.28
Download PDF
⟨ Previous Next ⟩

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.

Keywords

References

  1. Guo ShuChun tr. comm. JiuZhang SuanShu YiZhu, ShangHai GuJi Pub. Co., 2009. 郭書春 譯注, <<九章算術 譯注>>, 上海古籍出版社, 2009.
  2. Guo ShuChun ed. ZhongGuo KeXue JiShu DianJi TongHui ShuXueJuan, HeNanJiaoYu Pub. Co., 1993. 郭書春 主編, <<中國科學技術典籍通彙>> 數學卷 全五卷, 河南敎育出版社, 1993.
  3. Guo ShuChun, LI Zhaohua, ZhongGuo KeXue JiShuShi, Kexue Pub. Co., 2010. 郭書春 主編, 李兆華 副主編, <<中國科學技術史>> 科學出版社, 2010.
  4. HONG JeongHa, GuIlJib (1724), corrected by Hong YeongSeok, 1868, Tohoku University Library. 洪正夏, <<九一集>> (1724), 洪永錫校字, 1868, 東北大學 圖書館.
  5. KIM YongWoon ed. HanGuk GwaHak GiSulSa JaRyo DaeGye, SuHakPyeon, YeoGang Pub. Co., 1985. 金容雲 編, <<韓國科學技術史資料大系>> 數學編, 驪江出版社, 1985.
  6. HONG Sung Sa, Theory of Equations in the history of Chosun Mahtematics, Proceeding Book 2, The HPM Satellite Meeting of ICME-12, 719-731, 2012.
  7. HONG Sung Sa, HONG Young Hee, Mathematics Teachers and Professors in Chosun Dynasty, The Korean Journal for History of Mathematics, 19(3) (2006), 1-20. 홍성사, 홍영희, 朝鮮의 算學訓導와 算學敎授, 한국수학사학회지, 19(3) (2006). 1-20.
  8. HONG Sung Sa, HONG Young Hee, CHANG Hye Won, History of Fanji and Yiji, The Korean Journal for History of Mathematics, 18(3) (2005), 39-54. 홍성사, 홍영희, 장혜원, 飜積과 益積의 歷史, 한국수학사학회지 18(3) (2005), 39-54.
  9. HONG Sung Sa, HONG Young Hee, KIM Chang Il, GouGuShu in the 18th century Chosun, The Korean Journal for History of Mathematics, 22(2) (2009), 1-12. 홍성사, 홍영희, 김창일, 18世紀 朝鮮의 句股術, 한국수학사학회지 22(2) (2009), 1-12.
  10. HONG Sung Sa, HONG Young Hee, KIM Chang Il, Hong JungHa's Number Theory, The Korean Journal for History of Mathematics 24(4) (2011), 1-6. 홍성사, 홍영희, 김창일, 洪正夏의 數論, 한국수학사학회지 24(4) (2011), 1-6.
  11. HONG Sung Sa, HONG Young Hee, KIM Young Wook, Liu Yi and Hong JungHa's KaiFangShu, The Korean Journal for History of Mathematics, 24(1) (2011), 1-13. 홍성사, 홍영희, 김영욱, 劉益과 洪正夏의 開方術, 한국수학사학회지 24(1) (2011), 1-13.
  12. HONG Sung Sa, HONG Young Hee, LEE Seung On, Division algorithm in Suanxue Qimeng, Journal for History of Mathematics, 26(5-6) (2013), 323-328. https://doi.org/10.14477/jhm.2013.26.5_6.323
  13. HONG Sung Sa, HONG Young Hee, LEE Seung On, Mathematical Structures and Suanxue Qimeng, Journal for History of Mathematics, 26(2-3) (2013), 123-130. https://doi.org/10.14477/jhm.2013.26.2_3.123
  14. KIM Chang Il, HONG Sung Sa, HONG Young Hee, Chosun Mathematician Hong JungHa's Genealogy, The Korean Journal for History of Mathematics 23(3) (2010), 1-20. 김창일, 홍성사, 홍영희, 朝鮮 算學者 洪正夏의 系譜, 한국수학사학회지 23(3) (2010), 1-20.
  15. The Annals of the Joseon Dynasty. 朝鮮王朝實錄. http://sillok.history.go.kr

Cited by

  1. On Classical Studies for Summability and Convergence of Double Fourier Series vol.27, pp.4, 2014, https://doi.org/10.14477/jhm.2014.27.4.285
  2. On the publication of Hong JeongHa's GuIlJib vol.28, pp.5, 2015, https://doi.org/10.14477/jhm.2015.28.5.233
  3. Hong JeongHa's Tianyuanshu and Zhengcheng Kaifangfa vol.27, pp.3, 2014, https://doi.org/10.14477/jhm.2014.27.3.155
  4. Areas in MukSaJibSanBeob and GuIlJib vol.27, pp.4, 2014, https://doi.org/10.14477/jhm.2014.27.4.259
  5. Volumes of Solids in Joseon Mathematics vol.27, pp.2, 2014, https://doi.org/10.14477/jhm.2014.27.2.101
  6. 동양수학사에서의 조선수학의 역할과 의미 vol.31, pp.4, 2018, https://doi.org/10.14477/jhm.2018.31.4.169