The Nine Chapters on the Mathematical Art Companion and Commentary [Hardcover]

TheNine Chapters on the Mathematical Arthas been the most important mathematical source in China for the past 2000 years, comparable in significance to Euclid'sElementsin the West. TheNine Chaptersquickly acquired a distinguished reputation, and was the standard mathematics textbook in China and the surrounding regions until Western science was introduced in about 1600. This volume contains the first complete English translation of theNine Chapters, together with the illuminating commentary of Liu Hui written in the 3rd century AD and other early century commentaries and further insights provided by the translators. TheNine Chapterscontains 246 problems and their solutions, which fall into nine categories that are firmly based on practical needs. There are methods for solving problems in areas such as land measurement, construction, agriculture, commerce, and taxation, while the Chinese commentators provide the algorithms needed to solve the problems, and explanations of how the algorithms work. The translators' commentary provides clear and accessible background material for the Western reader, explanations of technicalities, and notes on the treatment of similar or identical mathematical problems in other countries. This first, full-English translation gives us an idea of the distinctive style and important contributions that have been made by traditional Chinese mathematics.

Introduction
Liu Hui's preface to his running commentary on the Nine Chapters
1. Field measurement
2. Millet and rice
3. Distribution by proportion
4. Short width
5. Construction consultations
6. Fair levies
7. Excess and deficit
8. Rectangular arrays
9. Right-angled triangles
Appendix
References
Index