Xiahou Yang

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Xiahou Yang was a 5th century Chinese mathematician.

All that is known about him is that he was referred to as the author of a mathematical manual ( Xiahou Yang suanjing ), which, however, is considered to be apocryphal according to recent math historians . The date of origin is in the 5th century and can be classified as before 468 due to the criticism in the commentary by Zhang Qiujian and after 421 due to a change in the norms for volumes. According to Jean-Claude Martzloff , it contains no notable new contributions other than a multiplication in a row of sticks as opposed to three rows in Sun Zi (Sunzi suajing).

It was included in the Ten Mathematical Classics ( Suanjing shi shu ) by Li Chunfeng in the 7th century , where he corrected some incorrect formulas. The ten mathematical classics were used in exams for senior civil servants.

It consists of a collection of problems in three chapters with 19 problems in the first, 29 in the second and 44 in the third. It uses an abacus with chopsticks and decimal notation, whereby division is also treated by removing the bars at the corresponding decimal places, which can be interpreted as negative decimal powers.

literature

  • Jean-Claude Martzloff: A history of chinese mathematics, Springer 1997, p. 141

Web links

Individual evidence

  1. Martzloff, History of chinese mathematics, Springer 1997, p. 141. He cites Qian Baocong , Mathematische Klassiker (Suanjing shishu), Peking 1963, Volume 2, p. 551