Yang Hui (楊輝, c. 1238 - c. 1298) was a Chinesemathematician who worked on magic squares and binomial theorem. One contribution of him is "Yang Hui's Triangle" which is the same as Pascal's Triangle, discovered independently. Events In the Iberian peninsula, James I of Aragon captures the city of Valencia September 28 from the Moors; the Moors retreat to Granada. ... Events July 2 - The Battle of Göllheim is fought between Albert I of Habsburg and Adolf of Nassau-Weilburg. ... Leonhard Euler is considered by many people to be one of the greatest mathematicians of all time A mathematician is a person whose primary area of study and research is mathematics. ... In recreational mathematics, a magic square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. ... In mathematics, the binomial theorem is an important formula giving the expansion of powers of sums. ... 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 The first six rows of Pascals triangle In mathematics, Pascals triangle is a geometric arrangement of the binomial coefficients in a triangle. ...
YangHui's contemporary and fellow mathematician Li Yeh (1192-1279), for instance, lived in northern China, which was controlled first by Juchen nomads and later by Mongols.
As for YangHui, he had served as a government official under the Sung, and it is quite possible that he continued to do so with their usurpers.
YangHui is credited with mathematical studies that appeared in 1261, 1275, and 1299.
Zhu Shijie was only born about the time YangHui's first texts were appearing so his life also overlapped that of Yang.
What Yang produced was not intended to be a further commentary on the ancient classic but instead he selected 80 of the 246 problems for his discussion.
Although Yang has presented a problem straight from the Nine Chapters his method of solution is quite different.
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