Mathematical Treatise in Nine Sections
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Mathematical Treatise in Nine Sections is a mathematical text written by Chinese Southern Song dynasty mathematician Ch'in Chiu-shao in the year 1247.
Apart from describing Chinese Remainder Theorem for the first time and providing a constructive proof for it, the text investigated:
- Indeterminate equations;
- Horner's method;
- Areas of geometric shapes and
- Linear simultaneous equations
Like many traditional Chinese mathematical works, the text reflects a Confucian administrator's concern with more practical mathematical problems, like calendrical, mensural, and fiscal problems.
The text existed only in manuscript form for several centuries and still has not been fully translated or investigated.
