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Chinese mathematics in the thirteenth century 13世纪的中国数学家

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Chinese mathematics in the thirteenth century 13世纪的中国数学家

最 低 价：￥243.70

定 价：￥270.75

作 者：UlrichLibbrecht　著 著

出 版 社：Oversea Publishing House

出版时间：2006-1-1

I S B N：9780486446196

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    内容简介
    Gploration of the life and work of the thirteenth-century hematician Ch'in, this fascinating book examines a range of mathematical issues that reflect Chinese life of a millennium ago. Its first part consists of four closely related studies of Ch'in and his work. The first study brings together what is known of the mathematician's life and of the history of his only extant work, the Shu-shu chiu-chang. Subsequent studies examine the entire range of mathematical techniques
    and problems found within Ch'in's book.
    The core of this book consists of an in-depth study of what modern mathematicians still refer to as the Chinese remainder theorem for the solution of indeterminate equations of the first degree. This was Ch'in's most original contribution to mathematics-so original that no one could correctly explain Ch'in's procedure until the early nineteenth century. This volume's concluding study unites information on artisanal, economic, administrative, and military affairs dispersed throughout Ch'in's writings, providing rare insights into thirteenth-century China.

    作者简介

    目录
    Foreword
    Preface
    Acknowledgments
    Bibliographical Note
    Reference Table
    I Ch'in Chiu-shao and His Shu-shu chiu-chang
    1 General Characteristics of Chinese Mathematics in Sung and Yuan
    2 Mathematicians and Mathematical Methods in Sung and Yuan
    3 Biography of Ch'in Chiu-shao
    Appendix to Chapter 3: From Chou Mi's Kuei-hsin tsa-chih, hsii-chi (Miscellaneous Notes from Kuei-Hsin Street, in Hangchow, First Addendum)
    4 The Shu-shu chiu-chang: History and Investigation
    5 General Structure of the Shu-shu chiu-chang
    II Mathematics in the Shu-shu chiu-chang: Numerical Notation and Terminology
    6 Notation and Terminology
    III Elementary Mathematical Methods
    7 Arithmetic
    8 Geometry
    9 "Trigonometry"
    IV Algebra
    10 Simultaneous Linear Equations
    11 Determinants
    12 Series and Progressions
    13 Numerical Equations of Higher Degree
    V The Chinese Remainder Theorem: A Monograph
    14 Indeterminate Analysis of the First Degree outside China: General Historical Survey
    15 History of Indeterminate Analysis in China
    16 Chinese Studies on the Ta-yen Rule in the Nineteenth Century
    Appendix to Chapter 16: Historical Outline of the Investigation of the Chinese Ta-yen Rule in
    Europe
    17 Ch'in Chiu-shao's General Method
    18 Ta-yen Rule and Ku.t.taka
    19 Ch'in's Ta-yen Rule and Calendar Making
    20 Ch'in's Ta-yen Rule and Modern Mathematics
    21 General Evaluation of Ch'in Chiu-shao's Ta-yen Rule
    22 Indeterminate Problems in the Shu-shu chiu-chang
    VI Socioeconomic Information
    23 The Shu-shu chiu-chang and Life in Sung China
    Glossary
    Bibliography
    Index

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