Authors:
- The first book on the history of modernization of the mathematical sciences in 19th-mid 20th century China
- Approaches the topic from various angles: language of mathematics, modes of argumentation and proof, statistics, numerology, number theory, geometry, discourses on "national studies"
- Provides in an Appendix the first translation of a Chinese treatise by Li Shanlan on Methods for Testing Primality (1872)
Part of the book series: Transcultural Research – Heidelberg Studies on Asia and Europe in a Global Context (TRANSCULT)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
The book addresses for the first time the dynamics associated with the modernization of mathematics in China from the nineteenth to the mid-twentieth century from a transcultural global historical perspective. Rather than depict the transformations of mathematical knowledge in terms of a process of westernization, the book analyzes the complex interactions between different scientific communities and the ways in which the past, modernity, language, and mathematics were negotiated in a global context.
In each chapter, Andrea Bréard provides vivid portraits of a series of go-betweens (such as translators, educators, or state statisticians) based on a vast array of translated primary sources hitherto unavailable to a non-Chinese readership. They not only illustrate how Chinese scholars mediated between new mathematical objects and discursive modes, but also how they instrumentalized their autochthonous scientific roots in specific political and intellectual contexts. While sometimes technical in style, the book addresses all readers who are interested in the global and cultural history of science and the complexities involved in the making of universal mathematics. “While the pursuit of modernity is in the title, entanglement is of as much interest. Using the famous ‘Nine Chapters’ as a framework, Bréard considers a wide range of that entanglement from divination to data management. Bréard’s analysis and thought-provoking insights show once again how much we can learn when two cultures intersect. A fascinating read!” (John Day, Boston University).Keywords
- History of mathematics in China
- Modernization of mathematics
- Global history of science
- Non-Western history of mathematics
- Transcultural history of science
- History of mathematical symbolism
- History of statistics in China
- History of primality tests
- History of the rectification of the ellipse
- History of inductive proof and argumentation
- Universal mathematics
Reviews
“This book is very useful. It is thoughtful and well researched. The inclusion of many, many translations of original source material, from Chinese into English, makes it a valuable reference in that sense as well.” (Joel Haack, MAA Reviews, January 19, 2020)
Authors and Affiliations
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Faculté des Sciences d’Orsay, Université Paris-Sud, Orsay, France
Andrea Bréard
About the author
Bibliographic Information
Book Title: Nine Chapters on Mathematical Modernity
Book Subtitle: Essays on the Global Historical Entanglements of the Science of Numbers in China
Authors: Andrea Bréard
Series Title: Transcultural Research – Heidelberg Studies on Asia and Europe in a Global Context
DOI: https://doi.org/10.1007/978-3-319-93695-6
Publisher: Springer Cham
eBook Packages: Social Sciences, Social Sciences (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2019
Softcover ISBN: 978-3-319-93694-9Published: 08 July 2019
eBook ISBN: 978-3-319-93695-6Published: 25 June 2019
Series ISSN: 2191-656X
Series E-ISSN: 2191-6578
Edition Number: 1
Number of Pages: XV, 281
Number of Illustrations: 126 b/w illustrations, 54 illustrations in colour
Topics: History of Mathematical Sciences, History of China, World History, Global and Transnational History, History of Science, Epistemology, Mathematics in the Humanities and Social Sciences