The Song period was the zenith in the development of mathematical ideas in China. Among the important names of the period were:

Jia Xian c.1050 Jia Xian suanjing (Jia Xian's mathematical classic)
Shen Kuo 1031-1095 Mengxi bitan (Dream Pool Essays)
Li Zhi (Li Ye) 1192-1279
  • Ceyuan haijing (Sea Mirror of Circle Measurements) (1248)
  • Yigu yanduan (New Steps in Computation) (1259)
Qin Jiushao c.1202-c.1261 Shushu jiuzhang (Mathematical Treatise in Nine Sections) (1247)
Guo Shoujing 1231-1316 Shou shi li (Works and Days Calendar)(1280)
Wang Xun c.1255-1282 Astronomer royal: Needham III, p380
Yang Hui fl.1261-1275
  • Xiangjie jiuzhang suanfa (A detailed analysis of the mathematical methods in the `Nine chapters') (1261)
  • Riyong suan fa (Computing methods for daily use) (1262)
  • Yang Hui suan fa (Yang Hui's methods of computation) (1274)
  • Fasuan qu yong ben mo (Alpha and Omega of a Selection on the Applications of Arithmetical Methods (1274)
  • Xugu zhaiqi suan fa (Continuation of ancient mathematical methods for elucidating the strange [properties of numbers]) (1275)
  • Jiuzhang suan fa zuan lei (Reclassification of the mathematical methods in the `Nine Chapters')
  • Tianmu bilei chengchu jiefa (Practical rules of arithmetic for surveying) (1275)
  • Chengchu tongbian suanbao (Precious reckoner for variations of multiplication and division)
Liu Yi   algebraist mentioned by Yang Hui (Needham III), p41
Guo Shoujing 1280 Shou shi li (Works and Days Calendar)
Zhu Shijie fl.1280-1303
  • Suanxue qimeng (Introduction to Mathematics) (1299)
  • Siyuan yujian (The jade mirror of the four unknowns) (1303)

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This page last revised: 3rd January, 2001

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