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Mathematical Structures and SuanXue QiMeng

수학적(數學的) 구조(構造)와 산학계몽(算學啓蒙)

  • Hong, Sung Sa (Department of Mathematics, Sogang University) ;
  • Hong, Young Hee (Department of Mathematics, Sookmyung Women's University) ;
  • Lee, Seung On (Department of Mathematics, Chungbuk National University)
  • Received : 2013.04.10
  • Accepted : 2013.05.18
  • Published : 2013.05.31

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.

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Cited by

  1. Division Algorithm in SuanXue QiMeng vol.26, pp.5_6, 2013, https://doi.org/10.14477/jhm.2013.26.5_6.323
  2. Mathematical Structures of Joseon mathematician Hong JeongHa vol.27, pp.1, 2014, https://doi.org/10.14477/jhm.2014.27.1.001
  3. Zeros of Polynomials in East Asian Mathematics vol.29, pp.6, 2016, https://doi.org/10.14477/jhm.2016.29.6.317