Yang Hui

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Yang-Hui triangle ( Pascal's triangle ) as described in a book by Zhu Shijie from 1303.

Yang Hui ( Chinese  楊輝  /  杨辉 , Pinyin Yáng Huī ; * around 1238 in Hangzhou , Zhejiang ; † around 1298 in China ) was a Chinese mathematician at the time of the Song Dynasty (960-1279).

Among other things, he dealt with magic squares and the binomial theorem . In his book Xiangjie Jiuzhang Suanfa from 1261 there is the oldest extant Chinese representation of Pascal's triangle . However, he did not discover this himself, but points out that he had taken over the triangle from Jia Xian (around 1050) and his li cheng shi shuo ("Determination of coefficients using a diagram") method for calculating square and cube roots. Nevertheless, the Pascal triangle is still called the Yang-Hui triangle in China today. Around 1275 he published two more mathematics books with Xugu Zhaiqi Suanfa and Suanfa Tongbian Benmo .

Web links

Individual evidence

  1. ↑ Ho Peng Yoke: Li, Qi and Shu. An Introduction to Science and Civilization in China . Hongkong University Press, 1985, ISBN 0-486-41445-0 , pp. 97 ( limited preview in Google Book search).
  2. ↑ George Gheverghese Joseph: The Crest of the Peacock. Non-European Roots of Mathematics . 3. Edition. Princeton University Press, 2011, ISBN 978-0-691-13526-7 , pp. 247 ( limited preview in Google Book search).
  3. ↑ cf. also MacTutor History of Mathematics archive
personal data
SURNAME Yang, Hui
ALTERNATIVE NAMES 杨辉; 楊輝; Yáng, Huī
BRIEF DESCRIPTION Chinese mathematician
DATE OF BIRTH around 1238
PLACE OF BIRTH Hangzhou , Zhejiang
DATE OF DEATH around 1298
Place of death China