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Count on it - history of Chinese Mathematics
In the colorful treasure trove of Chinese history and culture, mathematics
(math) is undoubtedly a resplendent and glaring pearl. Boasting paramount values
and a unique position in the world civilization history, math is another
important contribution China has made to the world besides the Four Great
Ancient Inventions of papermaking, gunpowder,
compass,
and printing.
The math achievements in ancient China boasted both a systematic theory and
abundant inventions. Up to the 16th century, China was still leading the world
in many aspects of math.
With a time-honored tradition, China maintained the longest period of
development among the Four Great Ancient Civilizations of ancient China, Egypt,
Babylon, and India, experiencing three major development climaxes in the Han
Dynasty (206BC-220AD), the Wei, Jin, Northern and South dynasties period
(220-581), and the Song and Yuan dynasties (960-1368). The development process
can be generally classified into the following periods:
The burgeoning period prior to the
Qin
Dynasty (221-207BC)
The drainage areas of the Huanghe and Yangtze rivers have always been the
cradles of Chinese culture. In the inscriptions on tortoise shells or animal
bones of the Shang
Dynasty (16th-11th century BC) unearthed in Yin
ruins (ruins of the capital city of the late Shang Dynasty near Xiaotun
Village, Anyang
City of Central China's Henan
Province), characters denoting numbers abound. There are altogether 13
symbols representing the numbers from 1 to 10, 100, 1,000, and 10,000, with the
biggest number found on the oracle bones being 30,000.
Suan chou, literally meaning "counting rods," is an ancient Chinese
calculating tool. When the suan chou first appeared cannot be
determined now, but archeological finds show that the calculating system was
already popular by the Spring
and Autumn Period (770-476BC). The suan chou system built a good
foundation for the four fundamental operations of arithmetic before being
gradually replaced by the abacus
at the end of the Yuan
Dynasty (1271-1368). It is fair to say that the great mansion of ancient
Chinese math was built on the foundation of the suan chou .
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