Algebra in China

  • Lam Lay Yong
Reference work entry

Arithmetic and geometry are the two oldest branches of mathematics. Algebra has its beginnings from both of them when attempts were made to generalize operations and relationships. Initially, such ideas were expressed in words; in the course of time, they were represented by some form of notation. The symbols facilitated the methods which in turn generated new concepts and methods. For instance, we are now able to solve with ease any arithmetical problem involving what we call a pair of linear equations in two unknowns through the use of the notational equations Open image in new window

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  1. Hoe, J. Les systèmes d’équations polynômes dans le Siyuan yujian (1303). France: Collège de France, Institut des Hautes Études Chinoises, 1977.Google Scholar
  2. Lam Lay Yong. A Critical Study of the Yang Hui Suan Fa. A Thirteenth‐Century Chinese Mathematical Treatise. Singapore: Singapore University Press, 1977.Google Scholar
  3. ‐‐‐. The Chinese Connection Between the Pascal Triangle and the Solution of Numerical Equations of Any Degree. Historia Mathematica 7 (1980): 407–24.Google Scholar
  4. ‐‐‐. Chinese Polynomial Equations in the Thirteenth Century. Ed. Li Guohao, et al. Explorations in the History of Science and Technology in China. Shanghai: Shanghai Chinese Classics Publishing House, 1982. 231–72.Google Scholar
  5. ‐‐‐. Jiu Zhang Suanshu (Nine Chapters on the Mathematical Art: An Overview). Archive for History of Exact Sciences 47.1(1994): 1–51.Google Scholar
  6. Lam Lay Yong and Ang Tian Se. Fleeting Footsteps. Tracing the Conception of Arithmetic and Algebra in Ancient China. Singapore: World Scientific, 1992.Google Scholar
  7. Libbrecht, Ulrich. Chinese Mathematics in the Thirteenth Century. The Shu‐shu chiu‐chang of Ch’in Chiu‐shao. Cambridge, Massachusetts: MIT Press, 1973.Google Scholar
  8. Yan and Li Du Shiran. Chinese Mathematics. A Concise History. Oxford: Clarendon Press, Trans. J. N. Crossley and A. W. C. Lun. 1987.Google Scholar
  9. Martzloff, Jean‐Claude. Histoire des Mathématiques Chinoises. Paris: Masson, 1988.Google Scholar
  10. Needham, Joseph. Science and Civilisation in China. Vol. 3: Mathematics and the Sciences of the Heavens and the Earth. Cambridge: Cambridge University Press, 1959.Google Scholar

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© Springer-Verlag Berlin Heidelberg New York 2008

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  • Lam Lay Yong

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