References for: Overview of Chinese mathematics
Books:
- D Bodde, Chinese Thought, Society and Science : The Intellectual and Social Background of Science and Technology in Pre-Modern China (Honolulu, 1991).
- R Calinger, A contextual history of mathematics (New York, 1999).
- C Cullen, Astronomy and Mathematics in Ancient China (Cambridge, 1996).
- P Y Ho, Li, Qi and Shu : An Introduction to Science and Civilization in China (Hong Kong, 1985).
- L Y Lam and T S Ang, Fleeting footsteps : Tracing the conception of arithmetic and algebra in ancient China (River Edge, NJ, 1992).
- U Libbrecht. Chinese mathematics in the thirteenth century (Cambridge, Mass., 1973).
- Y Li, Materials for the Study of the History of Ancient Chinese Mathematics (Chinese) (Shanghai, 1963).
- Y Li and S R Du, Chinese mathematics (New York, 1987).
- J-C Martzloff, A history of Chinese mathematics (Berlin-Heidelberg, 1997).
- J-C Martzloff, Histoire des mathématiques chinoises (Paris, 1987).
- Y Mikami, The Development of Mathematics in China and Japa (New York, 1974).
- S Nakayama. Chinese science : explorations of an ancient tradition (Cambridge, Mass., 1973).
- J Needham, Science and Civilisation in China 3 (Cambridge, 1959).
- B Qian, History of Chinese mathematics (Chinese) (Peking, 1981).
- B Qian (ed.), Ten Mathematical Classics (Chinese) (Beijing, 1963).
- K Shen, J N Crossley and A W-C Lun, The nine chapters on the mathematical art : Companion and commentary (Beijing, 1999).
- N Sivin, Cosmos and early Chinese mathematical astronomy (Leiden, 1969).
- N Sivin (ed.),Science and technology in East Asia (New York, 1977).
- F J Swetz, The Sea Island Mathematical Manual : surveying and mathematics in ancient China (Pennsylvania, 1992).
- F J Swetz and T I Kao, Was Pythagoras Chinese? (Reston, Virginia, 1977).
- Li Yen, An outline of Chinese mathematics (Chinese) ( Peking 1958).
Papers:
- K Chemla, Reflections on the world-wide history of the rule of false double position, or : How a loop was closed, Centaurus 39 (2) (1997), 97-120.
- C Cullen, Learning from Liu Hui? A different way to do mathematics, Notices Amer. Math. Soc. 49 (7) (2002), 783-790.
- Y Z Dong and Y Yao, The mathematical thought of Liu Hui (Chinese), Qufu Shifan Daxue Xuebao Ziran Kexue Ban 13 (4) (1987), 99-108.
- L Y Lam, and K S Shen, The Chinese concept of Cavalieri's principle and its applications, Historia Math. 12 (3) (1985), 219-228.
- D Liu, 400 years of the history of mathematics in China - an introduction to the major historians of mathematics since 1592, Historia Sci. (2) 4 (2) (1994), 103-111.
- S K Mo, Jiuzhang suanshu (Nine chapters on the mathematical art) and Liu Hui's commentary (Chinese), Stud. Hist. Nat. Sci. 19 (2) (2000), 97-113.
- K S Shen, Historical development of the Chinese remainder theorem, Arch. Hist. Exact Sci. 38 (4) (1988), 285-305.
- P D Straffin Jr., Liu Hui and the first golden age of Chinese mathematics, Math. Mag. 71 (3) (1998), 163-181.
JOC/EFR December 2003
MacTutor History of Mathematics
[http://www-history.mcs.st-andrews.ac.uk/HistTopics/References/Chinese_overview.html]