'Qin Jiushao' (, ca.
1202–
1261),
courtesy name 'Daogu' (道古), was a
Chinese mathematician born in
Ziyang, Sichuan, his ancestry was from
Shandong, and is now regarded as one of the greatest mathematicians of the
13th century. This is particularly remarkable, as Qin did not devote his life to
mathematics. He was accomplished in many other fields, however, and held a series of bureaucratic positions in several
Chinese provinces.
Qin’s reputation as a mathematician lies in the ''Shùshū Jiǔzhāng'' (“
Mathematical Treatise in Nine Sections”), issued in
1247. The treatise covered matters that ranged from indeterminate analysis to military matters and surveying. In the treatise, Qin included a version of the
Chinese remainder theorem, which used
algorithms to solve problems. In geometry, he discovered “Qin Jiushao's formula” in finding the area of a triangle with given length of three sides. This is the same as
Heron’s formula, discovered earlier.
Qin recorded the earliest explanation of how
Chinese calendar experts calculated
astronomical data according to the timing of the
winter solstice. Among his accomplishments are introducing techniques for solving
equations, finding
sums of
arithmetic series, and solving
linear systems. He also introduced the use of the
zero symbol in
Chinese mathematics.
References
★ Guo, Shuchun,
"Qin Jiushao". ''
Encyclopedia of China'' (Mathematics Edition), 1st ed.
External links
★
★
Simon Fraser University biography for “Qin Jiushao”