The Nine Chapters on the Mathematical Art: Companion and Commentary

Hardcover | October 7, 1999

EditorShen KangshenbyJohn Crossley, Anthony Lun

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The Nine Chapters on the Mathematical Art is a classic text: the most important mathematical source in China during the past 2000 years, and comparable in significance to Euclid's Elements in the West. This volume contains the first complete English translation of the Nine Chapters, togetherwith two commentaries written in the 3rd and 7th centuries AD, and a further commentary by the translators. The Nine Chapters contains 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 asland measurement, construction, agriculture, commerce, and taxation. The Chinese commentators provided 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. The Nine Chapters quickly acquired a distinguished reputation, and was the standard mathematics textbook in China and the surrounding regions until Western science wasintroduced in about 1600. This English translation gives the reader an idea of the distinctive style and important contributions of traditional Chinese mathematics.

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From the Publisher

The Nine Chapters on the Mathematical Art is a classic text: the most important mathematical source in China during the past 2000 years, and comparable in significance to Euclid's Elements in the West. This volume contains the first complete English translation of the Nine Chapters, togetherwith two commentaries written in the 3rd and...

Shen Kangshen is at Zhejiang University. John Crossley is at Monash University.
Format:HardcoverPublished:October 7, 1999Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198539363

ISBN - 13:9780198539360

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Table of Contents

IntroductionLiu Hui's Preface to his Running Commentary on the Nine Chapters1. Field measurement2. Millet and rice3. Distribution by proportion4. Short width5. Construction consultations6. Fair levies7. Excess and deficit8. Rectangular arrays9. Right-angled trianglesAppendixReferencesIndex

Editorial Reviews

"The Nine Chapters is a classic of Chinese mathematics ... it will be of great value to scholars with an interest in Chinese mathematics and more generally to students of ancient mathematics" Proceedings of the Edinburgh Mathematical Society