## A history of Chinese mathematicsThe book is made up of two mutually explanatory parts, the first devoted to the general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. This section is organised topically rather than chronologically, and is enriched in each case by examples, guides on how to intepret the contextual setting and by exhaustive references - both mathematical and sinological. This makes the book 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. Indeed anyone with an interest in Chinese culture or the history of ideas will derive great benefit from this book. |

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#### Review: The Four-Color Theorem: History, Topological Foundations, and Idea of Proof

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### Contents

Influences and Transmission | 89 |

Main Works and Main Authors from the Origins to 1600 | 123 |

The Content of Chinese Mathematics | 177 |

Copyright | |

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### Common terms and phrases

19th century abacus algebra ancient arithmetic astronomy calculations Cheng China Chinese mathematicians Chinese mathematics Chinese remainder theorem Chouren Chubanshe coefficients commentary Computational Canons corresponding counting-rods cube decimal denote divisor Dunjie dynasty edition equation Euclid's Elements European example explains extraction fact fang fangcheng figures formulae fractions geometry Guo Shoujing history of Chinese Hui's Japanese Jihe Jiuzhang suanshu JZSS problem Kexue Lam Lay-Yong lian Libbrecht Liu Hui Martzloff Mei Wending method Ming Ming dynasty multiplication Nine Chapters notation numbers obtain origin Pascal's triangle Peking polynomial qian Qin Jiushao resp right-angled triangle root rule Shanghai Shanlan Shushu jiuzhang shuxue Siku quanshu Siyuan yujian solution square suan Suanfa tongzong suanxue subtraction Sunzi techniques theorem tianyuan Tongwen guan tradition translation unknown Wang Yuan Zhang zhong Zhongguo Zhu Shijie zhuan ZSSLC-T