Article ID: CBB001250696

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

unapi

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.

...More
Citation URI
http://data.isiscb.org/isis/citation/CBB001250696/

Similar Citations

Article Duan, Yao-yong; Zhou, Chang; (2012)
The Master Liu Hui in the View of Mathematical Aesthetic Characters (/isis/citation/CBB001250711/) unapi

Article Zhang, Jiuchun; (2003)
The Origination of Jiuzhang Suanfa Bilei Daquan from Jiuzhang (/isis/citation/CBB000340056/) unapi

Article Guo, Shuchun; (2004)
A Comparative Study on Suanshushu and Ten Mathematical Classics (/isis/citation/CBB000502052/) unapi

Article Guan, Shou-Yi; (2007)
The Study of the Xuanshi Almanac (/isis/citation/CBB000760552/) unapi

Article Shi, Jilong; Cheng, Lixian; Zhou, Weirong; Dong, Yawei; Wang, Changsui; (2006)
Coin-Casting Technology of the Six Dynasties (/isis/citation/CBB000630906/) unapi

Article Li, Jender; (1999)
Han Wei Liuchao de rumu (/isis/citation/CBB000203118/) unapi

Article Yuan, Min; Qu, An-jing; (2008)
The Cosmic Model of Liangwu Emperor (/isis/citation/CBB000952282/) unapi

Article Duan, Yaoyong; Su, Guoqiang; (2004)
Study on the Relationship between the Extraction of Zengcheng and the Licheng Shisuo (/isis/citation/CBB000401193/) unapi

Chapter Chemla, Karine; (2004)
Algorithmes et histoire de la démonstration mathématique (/isis/citation/CBB000650847/) unapi

Article Zhu, Yiwen; (2011)
A History of Dayan---From Fangcheng to Dayan (/isis/citation/CBB001210027/) unapi

Article Wagner, Donald B.; (1978)
Liu Hui and Tsu Keng-chih on the volume of a sphere (/isis/citation/CBB001180316/) unapi

Article Tegus, ; (2004)
Another possible zhuishu to approximate pi (/isis/citation/CBB000401197/) unapi

Article Jami, Catherine; Han, Qi; (2003)
The Reconstruction of Imperial Mathematics in China During the Kangxi Reign (1622--1722) (/isis/citation/CBB000470589/) unapi

Article Zhou, Chang; Zhang, Jianke; (2008)
Takebe's Mathematical Thought and Methodology (/isis/citation/CBB000933525/) unapi

Authors & Contributors
Zhu, Yiwen
Duan, Yaoyong
Chemla, Karine Carole
Zhou, Chang
Li, Jender
Zhang, Jiuchun
Journals
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)
Publishers
Johns Hopkins University
Concepts
East Asia, civilization and culture
Mathematics
Methodology
Cross-cultural interaction; cultural influence
Astronomy
Wet nurses
People
Liu, Hui
Wu, Jing
Li, Chunfeng
ibn Qurra, Thabit
Plato
Zhao Shuang
Time Periods
Ancient
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)
Places
China
Japan
Institutions
Jesuits (Society of Jesus)
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment