Development of Mathematics in Ancient China

Chinese Counting Boards

By the time of the Han Dynasty (2nd Century B.C. to 4th Century A.D.), the Shang numerals were developed into a system and used on a counting board and a set of counting-rods (chousuan). Chinese computational methods were based on many mechanical aids, or early computers, including a large variety of counting boards. Indeed, the evolution and development of counting rod numerals continued for about 3000 years in China, from 14 century BC. to 13th century AD.

The abacus is perhaps the best known counting board, but it was only developed around the 15th century. Counting boards were divided into columns designating positional groupings of 10. Zero was indicated by a blank space on the counting board, and negative numbers were also used in mathematical calculations. Two types of rods were used, red and black or positive and negative, representing Yin and Yang.

Before the dawn of the Christian era, over 2,000 years ago, the Chinese were solving systems of equations with a method similar to the modern transformations of matricies. Tangrams and other aids were also invented in China during the Chou dynasty. In addition, over the thousands of years of mathematical progress, the Chinese have invented a large variety, and countless numbers, of mathematical puzzles and games.

The linear units of measure were as follows:

1 chang = 10 ch'ih
1 pu (pace) = 5 ch'ih
1 ch'ih (foot) = 10 ts'un (inch)

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