Science and technology of the Yuan dynasty

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During the Yuan dynasty (1271–1368) of China, many scientific and technological advancements were made in areas such as mathematics, medicine, printing technology, and gunpowder warfare.

A diagram of Pascal's triangle in Zhu Shijie's Jade Mirror of the Four Unknowns, written in 1303

Advances in polynomial algebra were made by mathematicians during the Yuan Dynasty. The mathematician Zhu Shijie (1249–1314) solved simultaneous equations with up to four unknowns using a rectangular array of coefficients, equivalent to modern matrices.[1][2] Zhu used a method of elimination to reduce the simultaneous equations to a single equation with only one unknown.[3] His method is described in the Jade Mirror of the Four Unknowns, written in 1303. The opening pages contain a diagram of Pascal's triangle. The summation of a finite arithmetic series is also covered in the book.[4]

Guo Shoujing applied mathematics to the construction of calendars. He was one of the first mathematicians in China to work on spherical trigonometry.[5] Gou derived a cubic interpolation formula for his astronomical calculations.[6] His calendar, the Shoushi Li (授時暦) or Calendar for Fixing the Seasons, was disseminated in 1281 as the official calendar of the Yuan dynasty.[7] The calendar may have been influenced solely by the work of Song dynasty astronomer Shen Kuo or possibly by the work of Arab astronomers.[5] There are no explicit signs of Muslim influences in the Shoushi calendar, but Yuan emperors were known to be interested in Muslim calendars.[7] Mathematical knowledge from the Middle East was introduced to China, and Muslim astronomers brought Arabic numerals to China in the 13th century.[5]

Medicine

Printing and publishing

References

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