• 한국수학사학회지
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• 제26권1호
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• pp.11-20
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• 2013

The Taisei Sankei(大成算経 in Japanese) or the Dacheng Suanjing(in Chinese) is a book of mathematics written by Seki Takakazu 関孝和, Takebe Kataakira 建部賢明 and Takebe Katahiro 建部賢弘. The title can be rendered into English as the Great Accomplishment of Mathematics. This book can be considered as one of the main achievements of the Japanese traditional mathematics, wasan, of the early 18th century. The compilation took 28 years, started in 1683 and completed in 1711. The aim of the book was to expose systematically all the mathematics known to them together with their own mathematics. It is a monumental book of wasan of the Edo Period (1603-1868). The book is of 20 volumes with front matter called Introduction and altogether has about 900 sheets. It was written in classical Chinese, which was a formal and academic language in feudal Japan. In this lecture we would like to introduce the wasan as expressed in the Taisei Sankei and three authors of the book. The plan of the paper is as follows: first, the Japanese mathematics in the Edo Period was stemmed from Chinese mathematics, e.g., the Introduction to Mathematics (1299); second, three eminent mathematicians were named as the authors of the Taisei Sankei according to the Biography of the Takebe Family; third, contents of the book showed the variety of mathematics which they considered important; fourth, the book was not printed but several manuscripts have been made and conserved in Japanese libraries; and finally, we show a tentative translation of parts of the text into English to show the organization of the encyclopedic book.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제26권4호
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• pp.351-362
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• 2012

행렬 및 벡터공간을 다루는 선형대수학은 사회의 복잡한 현상을 선형화 과정을 거쳐 선형연립방정식이라는 단순한 형태의 수학 문제로 바꾼 후 실제로 해결하는 데 결정적으로 기여한다. 이와 같은 이유로 20세기 중반까지 추상적인 고등수학 과목으로만 여겨지던 선형대수학이 현재는 자연-공학-사회계열 분야 학생의 대부분이 배우는 기본 교과목이 되었다. 본 연구에서는 초기 선형대수학의 발전에 기여한 중국, 일본, 그리고 서양의 수학자들에 대하여 다룬다. 선형대수학은 <산수서>, <구장산술>, 세키 고와, 뫼비우스, 그라스만 실베스터, 케일리 등을 거치면서 비선형적으로 발전해왔다. 우리는 새로 발굴한 내용을 중심으로 초기 선형대수학의 발전과정을 소개한다.