By Jean-Claude Martzloff
This booklet is made from components, the 1st dedicated to basic, ancient and cultural history, and the second one to the advance of every subdiscipline that jointly contain chinese language arithmetic. The ebook is uniquely obtainable, either as a topical reference paintings, and likewise as an outline that may be learn and reread at many degrees of class by way of either sinologists and mathematicians alike.
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56Peng Rita Hsiao-fu ( l ) , 1975, p. 386. 57His works on this subject remind one of the content of books l 5 and l 6 of Clavius's commentary on Euclid's Elements. Cf. Martzloff (2), 1981, p. 265 ff. 58Cf. Li Di and Guo Shirong (l'), 1988. 26 2. T h e Historical Context Verbiest became President of the Bureau of Astronomy and was succeeded by F. Grimaldi, K. 60Thus, the missionaries came into direct contact with the Emperors themselves. It was in this way that the Belgian Jesuit missionary F. Verbiest (16231688) came t o teach the young Kangxi, who was Emperor of China from 1661 to 1722, the rudiments of European s c i e n ~ e .
Youyu ruzhe zhi bu zhi shu ye. ~' What is more, the major works of autochthonous Chinese mathematics were practically inaccessible at that time. ^' However, as far as the 18th century is concerned, mention should be made of the particularly original works of the astronomer of Mongol abstraction Minggatu" "-1764) (known as "Ming'antu" in Chinese and "Miangat" in modern Mongolian) on the expansion of circular functions in infinite series, which were inspired by formulae of a completely European origin, which he apparently learnt of outside their theoretical and demonstrative context.
Oya (3'), 1980, pp. 97-164 and the journal Sugaku semina (issues from February 1975 to April 1976). 5gKawahara (l'), 1980. 6 0 S ~ z ~j. h16, ~ ,p. 388. " However, the fact remains that, in the 20th century, historians differ from their peers in the past in one essential way in that, unlike the latter, they have almost all received a high-level scientific training. The most important contemporary historians include Li Yan (1892-1963) who was a railway engineer,62 Qian Baocong (1892-1974) who was a professor of mathematics with an honorary DSc from the university of Birmingham,63 and Zhang Yong (1911-1939) who studied mathematics and physics at G ~ t t i n g e n .
A History of Chinese Mathematics by Jean-Claude Martzloff