• 한국수학사학회지
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• 제18권3호
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• pp.1-24
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• 2005

중국의 부정방정식은 구장산술에서 시작되어 손자산경과 장구건산경에서 취급되었다. 진구소가 수서구장에서 대연총수술을 도입하여 일반적인 연립합동식의 해법을 얻어낼 때까지 부정방정식은 아무런 발전이 없었다. 먼저 진구소의 대연술을 소개하고, 조선에서 부정방정식의 발전 과정을 조사한다. 남병길의 산학정의와 진구소 수서구장의 대연술을 비교한다.

• 한국수학사학회지
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• 제16권4호
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• pp.1-14
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• 2003

The Nine Chapters by Liu Hui(劉徽) in the three kingdoms(220∼265 AD) is the fundamental source of the traditional Chinese Mathematics and has not only remained the lighthouse of the traditional Chinese Mathematics over the last 2000 years, but also has exerted a profound influence on the development of mathematics in the neigh-bouring countries and regions. At last it also translated into English. In this paper, some differences between the Orignal and the New Translated Nine Chapters will be introduced and a problem of Mathematical Treatise in Nine Sections (Shushu Jiuzhang, 수서구장, 1247) of Qin Jiushao(진구소, 1202∼1261 AD) in the Song (송, 960∼1261 AD) Dynasty It looks like an insect in the amber but not error.

• 한국수학사학회지
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• 제34권5호
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• pp.165-191
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• 2021

The simple simultaneous linear congruence equation solution in 《Sunzi Suanjing孫子算經》 has developed into a systematic general solution in 《Shuxue Jiuzhang數書九章》. The most important parts of it is the creation of the Dayan Qiuyishu大衍求一術. The reason why 《Sanhak Jeongeui算學正義》 deals with the Dayanshu大衍術 which has lost its practicality in the calculation of astronomical calendar, is that one of the best achievement of traditional mathematics cannot be omitted. It is written with an emphasis on the disclosure of the calculation principle. It shows that Nam Byeong-gil南秉吉 and Lee Sang-hyeok李尙爀 had a fairly structural understanding of the Dayan Qiuyishu.