A History of Chinese Mathematics by Jean-Claude Martzloff

By Jean-Claude Martzloff

This booklet is made of components, the 1st dedicated to basic, ancient and cultural heritage, and the second one to the improvement of every subdiscipline that jointly include chinese language arithmetic. The booklet is uniquely available, either as a topical reference paintings, and likewise as an summary that may be learn and reread at many degrees of class by way of either sinologists and mathematicians alike.

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62Biography of Li Yan in Wong Ming ( l ) , 1964. , p. 411. , p. 412. See also Li Yan (501),1954, p. 135 ff. , p. 412. G61dcm. 67Wang Yusheng (3/), 1989. 1. ). 73 Study of the work of Chinese mathematicians of the Qing period (Liu Dun,74 Luo Jianjin,75 Shen Kangshen76). Study of the sources of Chinese adaptations of European works (Bai Shang~hu~~). ). Horng Wann-Sheng is also the author of an excellent thesis on Li Shanlan, presented in New York under Prof. 79 "Including, in particular: Mei Rongzhao, Du Shiran, He Shaogeng, Liu Dun.

The corpora of Egyptian and Babylonian mathematics predate it by more than a millennium. Was it born at the time Greek science was at its peak? Therc is currently no evidence to confirm this; documents about ancient China never refer, either directly or indirectly, to a mathematical knowledge beyond the bounds of elementary arithmetic (numeration, operations, weights and measures, fractions). ' In fact, the Chinese mathematical landscape begins to be more detailed from the time of the Former Han (208 BC-8 AD).

20 Pascal's triangle, which appears at the beginning of the same book, is referred to as the "ancient method" (gu fa). On the other hand, the 50-year period between 1247 and 1303 is very much better documented. It saw the appearance of a succession of mathematical works at a level far higher than that of the Ten Computational Canons (SJSS), both from the point of view of the complexity of their algorithms and from that of the originality of their results. These works include: The Shushu jiuzhang (Computational Techniques in Nine Chapters) by Qin Jiushao, which is notable for its perfectly general algorithm for solving simultaneous congruences (generalised Chinese remainder theorem).

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