The 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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"...a truly scholarly and balanced exposition..."-Zentralblatt für Mathematik "...crammed with insights, cautionary tales and a great deal of information about current research... will surely become a standard reference for students, teachers and researchers alike" -Annals of Science
"Martzloff, together with Karine Chemla and Catherine Jami, is part of a French research group on the history of Chinese mathematics. Together, they have made substantial contributions to the field. In particular, they have brought to the field a more sophisticated and reflective attitude towards the writing of history. … Martzloff remains the best introduction to the subject and his ‘Bibliographical Orientation’ at the end should open up a huge world of texts and historical studies for anyone who wants to go further." (Fernando Q. Gouvêa, MathDL – Online, October, 2006)
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Text: English, Chinese (translation)
Original Language: French
Original Language: French
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This review is from: A History of Chinese Mathematics (Hardcover)
for anyone interested in the subject. The author treats both thenative tradition and the reception of Western mathematics with the highest scholarship. One of the most significant themes is the conflict between the combinatoric spirit of Chinese mathematics, akin to modern group theory and algebra, and the synthetic Euclidean system introduced by European missionaries. The initial Chinese puzzlement at what seemed an artificially contrived structure will amuse those who have endured traditional geometry and those struggling with Chinese itself.
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First Sentence:
Prior to the second half of the 19th century, in Europe, almost nothing was known about Chinese mathematics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
ten computational canons, dayan rule, congshu jiyao, jiuzhang suanfa, yujian xicao, bilei daquan, tianyuan algebra, tianyuan shu, fangcheng method, hundred fowls problem, alternating subtractions, computational prescriptions, quanshu zongmu, yuanliu kao, calendrical astronomy, double vault, mathematical encyclopedia, hypotenuse figure, summation formulae, simultaneous congruences, fixed divisor, recreational problems, remainder problem, unit rod, indeterminate analysis Key Phrases - Capitalized Phrases (CAPs): (learn more)
Liu Hui, Yang Hui, Qin Jiushao, Zhu Shijie, Euclid's Elements, Mei Wending, Yan Dunjie, Wang Ling, Lam Lay-Yong, Shangwu Yinshuguan, Guo Shoujing, Ruan Yuan, Xiahou Yang, Zhang Qiujian, Shen Gua, Bai Shangshu, Wang Xiaotong, Zhen Luan, Cheng Dawei, Lain Lay-Yong, Middle Ages, Ten Canons, Bureau of Astronomy, Qian Baocong, Ang Tian-Se New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Prior to the second half of the 19th century, in Europe, almost nothing was known about Chinese mathematics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
ten computational canons, dayan rule, congshu jiyao, jiuzhang suanfa, yujian xicao, bilei daquan, tianyuan algebra, tianyuan shu, fangcheng method, hundred fowls problem, alternating subtractions, computational prescriptions, quanshu zongmu, yuanliu kao, calendrical astronomy, double vault, mathematical encyclopedia, hypotenuse figure, summation formulae, simultaneous congruences, fixed divisor, recreational problems, remainder problem, unit rod, indeterminate analysis Key Phrases - Capitalized Phrases (CAPs): (learn more)
Liu Hui, Yang Hui, Qin Jiushao, Zhu Shijie, Euclid's Elements, Mei Wending, Yan Dunjie, Wang Ling, Lam Lay-Yong, Shangwu Yinshuguan, Guo Shoujing, Ruan Yuan, Xiahou Yang, Zhang Qiujian, Shen Gua, Bai Shangshu, Wang Xiaotong, Zhen Luan, Cheng Dawei, Lain Lay-Yong, Middle Ages, Ten Canons, Bureau of Astronomy, Qian Baocong, Ang Tian-Se New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
16
books
cite this book:
See all 16 books citing this book
- A Cultural History of Modern Science in China (New Histories of Science, Technology, and Medicine) by Benjamin A. Elman on 6 pages
- A History of Algorithms: From the Pebble to the Microchip by Jean-Luc Chabert on 4 pages
- Descartes's Mathematical Thought (Boston Studies in the Philosophy of Science) by C. Sasaki on page 26, page 28, and Back Matter
- Sherlock Holmes in Babylon and Other Tales of Mathematical History (Spectrum) by Marlow Anderson on page 81, page 105, and page 106
- Mathematics in a Postmodern Age: A Christian Perspective by Mr. Russell W. Howell on page 57, page 62, and Back Matter
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