Bibliography
Bai Shangshu 1983.Jiu zhang suanshu zhushi (Annotations onJiu zhang suanshu). Beijing: Kexue chubanshe.
Berezkina, E. I. 1957. Drevnekitajskij trakat “Matematika v devjati knigach” (The ancient Chinese mathematical work “Nine chapters on the mathematical art”).Istoriko-Matematiceskie Issledovanija 10, 423–584.
Chase, A. B. 1979.The Rhind Mathematical Papyrus. Virginia: The National Council of Teachers of Mathematics.
Cohn, P. M. 1958.Linear Equations. London: Routledge & Kegan Paul.
Cohn, P. M. 1958.Linear Equations. London: Routledge & Kegan Paul.
Gillings, R. J. 1972.Mathematics in the Time of the Pharaohs. Massachusetts: The M.I.T. Press.
Guo Shuchun 1990 (compiled and annotated by).Jiu zhang suanshu (Nine chapters on the mathematical art). Shenyang: Liaoning jiaoyu chubanshe.
Karpinski, L. C. 1925.The History of Arithmetic. Chicago & New York: Rand McNally.
Lam Lay Yong 1974. Yang Hui's commentary on theying nu chapter of theChiu Chang Suan Shu.Historia Mathematica 1, 47–64.
Lam Lay Yong 1986. The conceptual origins of our numeral system and the symbolic form of algebra.Archive for History of Exact Sciences 36, 183–195.
Lam Lay Yong 1987. Linkages: Exploring the similarities between the Chinese rod numeral system and our numeral system.Archive for History of Exact Sciences 37, 365–392.
Lam Lay Yong 1988. A Chinese genesis: Rewriting the history of our numeral system.Archive for History of Exact Sciences 38, 101–108.
Lam Lay Yong &Ang Tian Se 1986. Circle measurements in ancient China.Historia Mathematica 13, 325–340.
Lam Lay Yong &Ang Tian Se 1992.Fleeting Footsteps. Tracing the Conception of Arithmetic and Algebra in Ancient China. Singapore: World Scientific.
Lam Lay Yong &Shen Kangshen 1984. Right-angled triangles in ancient China.Archive for History of Exact Sciences 30, 87–112.
Lam Lay Yong &Shen Kangshen 1985. The Chinese concept of Cavaliere principle and its applications.Historia Mathematica 12, 219–228.
Lam Lay Yong &Shen Kangshen 1986. Mathematical problems on surveying in ancient China.Archive for History of Exact Sciences 36, pp. 1–20.
Lam Lay Yong &Shen Kangshen 1989. Methods of solving linear equations in traditional China.Historia Mathematica 16, 107–122.
Li Yan &Du Shiran 1987.Chinese Mathematics. A Concise History. Translated byJ. N. Crossley &A. W. C. Lun. Oxford: Clarendon Press.
Mikami Y. 1913.The Development of Mathematics in China and Japan. 1st edition in Vol. 30 of “Abhandlungen zur Geschichte der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen begründet von Moritz Cantor” (Leipzig). 2nd edition New York: Chelsea Publishing Company 1974.
Needham, J. 1959.Science and Civilisation in China. Vol. 3:Mathematics and the Sciences of the Heavens and the Earth. Cambridge: Cambridge University Press.
Qian Baocong (ed.) 1963.Suanjing shi shu (Ten mathematical classics). Beijing: Zhonghua shuju.
Swetz F. J. &Kao, T. I. 1977.Was Pythagoras Chinese? An Examination of Right Triangle Theory in Ancient China. Pennsylvania: Pennsylvania State University Press.
Vogel, K. 1968.Neun Bücher Arithmetischer Technik. Braunschweig: Friedr. Vieweg & Sohn.
Wagner, D. 1975. Proof in ancient Chinese mathematics: Liu Hui on the volumes of rectilinear solids. Unpublished thesis, University of Copenhagen.
Wagner, D. 1979. An early Chinese derivation of the volume of a pyramid: Lui Hui, third century A.D.Historia Mathematica 6, pp. 164–188.
Wang Ling 1956. The Chiu chang suan shu and the history of Chinese mathematics during the Han dynasty. Unpublished Ph.D. dissertation, University of Cambridge.
Wang Ling &Needham, J. 1955. Horner's method in Chinese mathematics: Its origins in the root-extraction procedures of the Han dynasty.T'oung Pao 43, 345–401.
Whitehead, A. N. 1911.An Introduction to Mathematics. New York: Oxford University Press. Third printing 1961.
Wu Wenjun (ed.) 1982.Jiu zhang suanshu yu Liu Hui (The Jiu zhang suanshu and Liu Hui). Beijing: Beijing shifan daxue chubanshe.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yong, L.L. Jiu zhang suanshu(nine chapters on the mathematical art): An overview. Arch. Hist. Exact Sci. 47, 1–51 (1994). https://doi.org/10.1007/BF01881700
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01881700