Chinese Mathematics in the Thirteenth Century

Name: Chinese Mathematics in the Thirteenth Century
Price: 8.37 USD
Availability: InStock
ISBN: 9780486446196

ISBN-10: 0486446190

ISBN-13: 9780486446196

Edition: 2005

Authors: Ulrich Libbrecht

List price: $29.95

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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 remainder theorem for the solution of indeterminate equations of the first degree. 1973 edition. Includes 71 figures and 85 diagrams.

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



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