The Nine Chapters on the Mathematical Art: Companion and Commentary
Oxford University Press, 1999 - 596 sider
The Nine Chapters on the Mathematical Art has been the most important mathematical source in China for the past 2000 years, comparable in significance to Euclid's Elements in the West. The Nine Chapters quickly acquired a distinguished reputation, and was the standard mathematics textbook in
China and the surrounding regions until Western science was introduced in about 1600. This volume contains the first complete English translation of the Nine Chapters, together with the illuminating commentary of Liu Hui written in the 3rd century AD and other early century commentaries and further
insights provided by the translators. The Nine Chapters contains 246 problems and their solutions, which fall into nine categories that are firmly based on practical needs. There are methods for solving problems in areas such as land measurement, construction, agriculture, commerce, and taxation,
while the Chinese commentators provide the algorithms needed to solve the problems, and explanations of how the algorithms work. The translators' commentary provides clear and accessible background material for the Western reader, explanations of technicalities, and notes on the treatment of
similar or identical mathematical problems in other countries. This first, full-English translation gives us an idea of the distinctive style and important contributions that have been made by traditional Chinese mathematics.
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the Nine Chapters
Millet and Rice
Distribution by Proportion
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According altitude ancient Answer applied Assume base breadth calculated called century China Chinese circle circumference coins column common considered continued corresponding cost County cube cubic deficit denominator determined diameter difference distance distribution Divide dividend divisor Dynasty equal equations example excess Extracting field figures follows formula four fractions gave given gives half height homogenize hypotenuse inscribed known length liang Liu Hui Liu's lower mathematics means measured Method millet multiply Nine Chapters obtain original pole positive Problem proportion Proposition pyramid ratio reduced remainder respectively result Rule Rule of Three says sheng side silk solution solving sphere square square root subtract Table Take Tell triangle uniformize unit upper volume width yangma zhang