Zhoubi Suanjing
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| Zhoubi Suanjing | ||
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Hanyu Pinyin Suànjīng | | |
| Wade–Giles | Suan-ching | |
The Zhoubi Suanjing, also known by
Names
The work's original title was simply the Zhoubi: the character
Dating
Examples of the
Contents
The Zhoubi is an anonymous collection of 246 problems[dubious ] encountered by the Duke of Zhou and figures in his court, including the astrologer Shang Gao. Each problem includes an answer and a corresponding arithmetic algorithm.
It is an important source on early
At one point during its discussion of the shadows cast by gnomons, the work presents a form of the
Commentaries
The Zhoubi has had a prominent place in Chinese mathematics and was the subject of specific commentaries by Zhao Shuang in the 3rd century, Liu Hui in 263, by Zu Gengzhi in the early 6th century, Li Chunfeng in the 7th century, and Yang Hui in 1270.
Translation
A translation to English was published in 1996 by Christopher Cullen, through the Cambridge University Press, entitled Astronomy and mathematics in ancient China: the Zhou bi suan jing.[20] The work includes a preface attributed to Zhao Shuang, as well as his discussions and diagrams for the gougu theorem, the height of the sun, the seven heng and his gnomon shadow table, restored.
See also
References
Citations
- ^ a b c d e Needham & al. (1959), p. 19.
- ^ a b Zou (2011), p. 104.
- ^ Pang-White (2018), p. 464.
- ^ a b Cullen (2018), p. 758.
- ^ Needham & al. (1959), p. 815.
- ^ Davis & al. (1995), p. 28.
- ^ Elman (2015), p. 240.
- ^ a b Needham & al. (1959), p. 20.
- ^ Patrick Morgan, Daniel (2 November 2018). "A Radical Proposition on the Origins of the Received Mathematical Classic The Gnomon of Zhou (Zhoubi 周髀)". The Second International Conference on History of Mathematics and Astronomy: 4. Retrieved 25 December 2023.
- ^ Tseng (2011), pp. 45–49.
- ^ Ding (2020), p. 172.
- ^ Tseng (2011), p. 50.
- ^ Tseng (2011), p. 51.
- ^ a b Cullen (1996), p. 82.
- ^ Gamwell (2016), p. 39.
- ^ Cullen (1996), p. 208.
- ^ Chemla (2005), p. [page needed].
- ^ Chemla (2005).
- ^ Gamwell (2016), p. 41.
- ISBN 978-0-521-55089-5.
Works cited
- "Chinese", Encyclopaedia Britannica, vol. II (1st ed.), Edinburgh: Colin Macfarquhar, 1771, pp. 184–192.
- ISBN 0-521-55089-0.
- ISBN 0-521-55089-0.
- Cullen, Christopher (2018), "Chinese Astronomy in the Early Imperial Age", The Cambridge History of Science, Vol. I: Ancient Science, Cambridge University Press, ISBN 978-110868262-6.
- Davis, Philip J.; et al., eds. (1995), "Brief Chronological Table to 1910", The Mathematical Experience, Modern Birkhäuser Classics, Boston: Birkhäuser, pp. 26–29, ISBN 978-081768294-1.
- Ding, D.X. Daniel (2020), The Historical Roots of Technical Communication in the Chinese Tradition, Newcastle-upon-Tyne: Cambridge Scholars, ISBN 978-152755989-9.
- Elman, Benjamin (2015), "Early Modern or Late Imperial? The Crisis of Classical Philology in Eighteenth-Century China", World Philology, Cambridge: Harvard University Press, pp. 225–244.
- Gamwell, Lynn (2016), Mathematics + Art: A Cultural History, Princeton University Press, ISBN 978-069116528-8.
- Needham, Joseph; et al. (1959), Science & Civilisation in China, Vol. III: Mathematics and the Sciences of the Heavens and the Earth, Cambridge University Press, ISBN 978-052105801-8.
- Pang-White, A. Ann (2018), The Confucian Four Books for Women, Oxford University Press, ISBN 978-0-19-046091-4.
- Tseng, L.Y. Lillian (2011), Picturing Heaven in Early China, East Asian Monographs, Cambridge: Harvard University Asia Center, ISBN 978-0-674-06069-2.
- ISBN 978-155753583-2.
Further reading
- 周髀算經 (in Chinese), Chinese Text Project.
- 周髀算經 (in Chinese), Project Gutenberg.
- ISBN 0-471-54397-7.
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