The Nine Chapters On The Mathematical Art

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The Nine Chapters on the Mathematical Art

Author: Kangshen Shen
language: en
Publisher: Oxford University Press, USA
Release Date: 1999
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, together with 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 as land 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 was introduced in about 1600. This English translation gives the reader an idea of the distinctive style and important contributions of traditional Chinese mathematics.
Science and Civilisation in China: Volume 3, Mathematics and the Sciences of the Heavens and the Earth

Author: Joseph Needham
language: en
Publisher: Cambridge University Press
Release Date: 1959
After two volumes mainly introductory, Dr Needham now embarks upon his systematic study of the development of the natural sciences in China. The Sciences of the Earth follow: geography and cartography, geology, seismology and mineralogy. Dr Needham distinguishes parallel traditions of scientific cartography and religious cosmography in East and West, discussing orbocentric wheel-maps, the origins of the rectangular grid system, sailing charts and relief maps, Chinese survey methods, and the impact of Renaissance cartography on the East. Finally-and here Dr Needham's work has no Western predecessors-there are full accounts of the Chinese contribution to geology and mineralogy.
A History of Chinese Mathematics

This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by both sinologists and mathematicians alike.