Mathematical Treatise in Nine Sections

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The Mathematical Treatise in Nine Sections (traditional Chinese: 數書九章; simplified Chinese: 数书九章; pinyin: Shùshū Jiǔzhāng; Wade-Giles: Shushu Chiuchang) is a mathematical text written by Chinese Southern Song dynasty mathematician Qin Jiushao in the year 1247.

This book contains nine chapters:

1. Da Yan type( Indeterminate equations);
2. Heaven phenomena
3. Area of land and field
4. Surveying
5. Taxation
6. Storage of grains
7. Building constrution
8. Military matters
9. Price and interest.

Each chapter contains nine problems, a total of 81 problems. Apart from describing Chinese Remainder Theorem for the first time and providing a constructive proof for it, the text investigated:

• Indeterminate equations
• "Lin Long method", 570 years before 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 in manuscript form in 1247, it was incorporated into The Yongle Encyclopedia in1421; in 1787 the book was collected intoSiku Quanshu, in 1842 appeared in woodblock printed edition. The 19th century British Protestant Christian missionary Alexander Wylie in his article Jottings on the Sciences of Chinese Mathematics published in North China Herald 1852, was the first person to introduce Mathematical Treatise in Nine Sections to the West. in 1971 Belgium mathematician Ulrich Librecht published his doctorate dissertation, Chinese Mathematics in the Thirteenth Century, which earned him a degree cum laude at Leiden University^[1].

[edit] References

1. ^ *Ulrich Libbrecht: Chinese Mathematics in the Thirteen Century(The Shu-Shu-Chiu-Chang of Chin Chiu shao) Dover Publication ISBN 0486446190

• Guo, Shuchun, "Qin Jiushao". Encyclopedia of China (Mathematics Edition), 1st ed.