Chinese Mathematics in the Thirteenth Century

ISBN-10: 0486446190

ISBN-13: 9780486446196

Edition: 2005

Authors: Ulrich Libbrecht

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An exploration of the 13th-century mathematician Ch'in, this fascinating book combines what is known of Ch'in's life with a history of his only extant work, theShu-shu chiu-chang. Ch'in's most original contribution to mathematics is the Chinese remainder theorem for the solution of indeterminate equations of the first degree. 1973 edition. Includes 71 figures and 85 diagrams.
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Book details

List price: $29.95
Copyright year: 2005
Publisher: Dover Publications, Incorporated
Publication date: 1/6/2006
Binding: Paperback
Pages: 592
Size: 5.50" wide x 8.50" long x 1.50" tall
Weight: 1.342
Language: English

Bibliographical Note
Reference Table
Ch'in Chiu-shao and His Shu-shu chiu-chang
General Characteristics of Chinese Mathematics in Sung and Yuan
Mathematicians and Mathematical Methods in Sung and Yuan
Biography of Ch'in Chiu-shao
From Chou Mi's Kuei-hsin tsa-chih, hsu-chi (Miscellaneous Notes from Kuei-Hsin Street, in Hangchow, First Addendum)
The Shu-shu chiu-chang: History and Investigation
General Structure of the Shu-shu chiu-chang
Mathematics in the Shu-shu chiu-chang: Numerical Notation and Terminology
Notation and Terminology
Elementary Mathematical Methods
Simultaneous Linear Equations
Series and Progressions
Numerical Equations of Higher Degree
The Chinese Remainder Theorem: A Monograph
Indeterminate Analysis of the First Degree outside China: General Historical Survey
History of Indeterminate Analysis in China
Chinese Studies on the Ta-yen Rule in the Nineteenth Century
Historical Outline of the Investigation of the Chinese Ta-yen Rule in Europe
Ch'in Chiu-shao's General Method
Ta-yen Rule and Kuttaka
Ch'in's Ta-yen Rule and Calendar Making
Ch'in's Ta-yen Rule and Modern Mathematics
General Evaluation of Ch'in Chiu-shao's Ta-yen Rule
Indeterminate Problems in the Shu-shu chiu-chang
Socioeconomic Information
The Shu-shu chiu-chang and Life in Sung China
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