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- Title
數:算與術 -以九數之方程爲例.
- Authors
朱一文
- Abstract
Fangcheng 方程 was one of the nine mathematical calculation methods in ancient China. Through a reinvestigation of fangcheng, this paper reveals characteristics of the mathematical techniques of ancient China, and proves that the fangcheng technique itself was changed by the process of evolution from the use of real counting sticks to pictorial representations. This article also re-examines the techniques for handling positive and negative numbers using unearthed counting sticks and extant historical literature. This clearly shows the differences in the way positive and negative numbers are handled nowadays compared to ancient times and the permeation of ancient mathematics with traditional ways of thinking. By analyzing the process by which Qin Jiushao 秦 九韶 wrote his Shu shu jiu zhang 數書九章, external factors that influenced mathematics in ancient China are identified that include the use of counting sticks and paper, corresponding traditional ideas, calendrical calculations, and social factors such as government moves to reform the calendar.
- Subjects
CHINESE mathematics; CHINESE history; HISTORICAL literature; QIN Jiushao; POLITICAL reform -- History; HISTORY
- Publication
Chinese Studies / Hanxue Yanjiu, 2010, Vol 28, Issue 4, p73
- ISSN
0254-4466
- Publication type
Article