Chinese Mathematics in the Thirteenth Century

ISBN-10: 0486446190
ISBN-13: 9780486446196
Edition: 2005
Authors: Ulrich Libbrecht
List price: $29.95 Buy it from $11.90
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Description: 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  More...

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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

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.

Foreword
Preface
Acknowledgments
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
Arithmetic
Geometry
"Trigonometry"
Algebra
Simultaneous Linear Equations
Determinants
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
Glossary
Bibliography
Index

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