Article ID: CBB001250696

On the Circulation Structures in the Nine Chapters on Mathematical Arts and Its Comments by Liu Hui (2012)


Siriguleng (Author)
Guo, Shi-rong (Author)

Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Volume: 41, no. 3
Issue: 3
Pages: 319-322

Publication Date: 2012
Edition Details: [Translated title.] In Chinese.
Language: Chinese

The circulation structure which is one of the most important structures in programming and algorithm analyses of the computer science has been used in traditional Chinese mathematics for long time. In the present paper, four circulation structures appeared in the Nine Chapters on Mathematical Arts and its Comments by Liu Hui in the third century are analyzed. They are designed for the reduction of fractions, for the extraction of square and cubic roots, and for the demonstrations of cyclotomic method and of the volume of solids. The applications of circulation structures are concrete cases of the mechanization thought and algorithmization characteristic of traditional Chinese mathematics. A deep study of the structure is helpful for a comprehensive understanding of the history of both traditional Chinese mathematics and computer science.

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Authors & Contributors
Zhu, Yiwen
Duan, Yaoyong
Chemla, Karine Carole
Zhou, Chang
Li, Jender
Zhang, Jiuchun
Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Lishi yuyan yanjiuso jikan (Bulletin of the Institute of History and Philology, Academia Sinica)
Early Science and Medicine: A Journal for the Study of Science, Technology and Medicine in the Pre-modern Period
Science in Context
Kexue Jishu Zhexue Yanjiu (Studies in Philosophy of Science and Technology)
Johns Hopkins University
East Asia, civilization and culture
Cross-cultural interaction; cultural influence
Wet nurses
Liu, Hui
Wu, Jing
Li, Chunfeng
ibn Qurra, Thabit
Zhao Shuang
Time Periods
Six dynasties (China, 220-589)
17th century
Han dynasty (China, 202 B.C.-220 A.D.)
Ming dynasty (China, 1368-1644)
Qing dynasty (China, 1644-1912)
Jesuits (Society of Jesus)

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