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Qin Jiushao (, ca. 1202–1261), courtesy name Daogu (道古), was a Chinese mathematician, meteorologist, inventor, politician, and writer of the Southern Song dynasty. He is credited for discovering Horner's method as well as inventing , a type of rain gauge instrument used to gather meteorological data.
Qin wrote Shùshū Jiǔzhāng ( Mathematical Treatise in Nine Sections) in 1247 CE. This treatise covered a variety of topics including indeterminate equations, and the numerical solution of certain polynomial equations up to the tenth degree. The treatise addressed surveying and military matters. Qin included a general form of the Chinese remainder theorem that used Da yan shu (大衍术) or to solve it. In geometry, he discovered "Qin Jiushao's formula" for finding the area of a triangle from the given lengths of three sides. This formula is the same as Heron's formula, proved by Heron of Alexandria about 60 BCE, though knowledge of the formula may go back to Archimedes.
As precipitation was important agriculture and food production, Qin developed that were widely used in 1247 during the Mongol Empire/Southern Song dynasty to gather meteorological data. Qin Jiushao later records the application of rainfall measurements in the mathematical treatise. The book also discusses the use of large made from bamboo situated in mountain passes and uplands, which are speculated to be first referenced to snow measurement.
Qin recorded the earliest explanation of how Chinese calendar experts calculated astronomy data according to the timing of the winter solstice. He also introduced the use of the zero symbol into written Chinese mathematics. He developed summation of arithmetic series, in particular the interpretation of a polynomial as a nested sequence of arbitrary sums and multiples of a given number. This method of polynomial evaluation is now referred to as Horner's method.
After he completed his work on mathematics, he ventured into politics. As a government official he was boastful, corrupt, and was accused of bribery and of poisoning his enemies. As a result, he was relieved of his duties multiple times. Yet in spite of these problems he managed to become very wealthy.Victor J. Katz (1993) A History of Mathematics: an introduction, New York
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