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A History of Chinese Mathematics
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A History of Chinese Mathematics Paperback - 2006

by S. S. Wilson (Translator); Jean-Claude Martzloff; Foreword by J. Gernet


From the publisher

Since the end of the 19th century, a number of specialised journals, albeit with a large audience, have regularly included articles on the history of Chinese mathematics, while a number of books on the history of mathematics include a chapter on the subject. Thus, the progressive increase in our knowledge of the content of Chinese mathematics has been accompanied by the realisation that, as far as results are concerned, there are numerous similarities between Chinese mathematics and other ancient and medieval mathematics. For example, Pythagoras' theorem, the double-false-position rules, Hero's formulae, and Ruffini-Harner's method are found almost everywhere. As far as the reasoning used to obtain these results is concerned, the fact that it is difficult to find rational justifications in the original texts has led to the reconstitution of proofs using appropriate tools of present-day elementary algebra. Consequently, the conclusion that Chinese mathematics is of a fundamentally algebraic nature has been ventured. However, in recent decades, new studies, particularly in China and Japan, have adopted a different approach to the original texts, in that they have considered the Chinese modes of reasoning, as these can be deduced from the rare texts which contain justifications. By studying the results and the methods explicitly mentioned in these texts hand in hand, this Chinese and Japanese research has attempted to reconstruct the conceptions of ancient authors within a given culture and period, without necessarily involving the convenient, but often distorting, social and conceptual framework of present-day mathematics.

First line

Prior to the second half of the 19th century, in Europe, almost nothing was known about Chinese mathematics.

From the rear cover

For the English language edition, this completely unique book of J.C. Martzloff has been fully revised and updated. It includes many new recent insights and illustrations, a new appendix on Chinese primary sources and a guide to the to the bibliography. From the reviews: "This book ranks with the most erudite Asian publications, and is the most informative and most broadly informed on its topic in any language." N. Sivin, China Quarterly "... 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", J. N. Crossley, Annals of Science "... a truly scholarly and balanced exposition ... a book that the reviewer believes belongs in the library of every university or college, as well as in that of every individual seriously interested in the history of Chinese mathematics", B. L. McAllister, ZBfM "Martzloff History demonstrates clearly that while the Chinese were adept in applying their mathematics to a host of practical problems, including astronomy and engineering as well as commercial transactions, they also paid attention to algorithmic techniques, methods of calculation, geometric constructions, and even certain purely logical problems. But above all, what sets this book apart from the usual histories of mathemathics (in any language, Chinese or Western, of any period or country) is its emphasis first on context, then on content, in describing the long history of Chinese mathematics .... It is primarily the question of context that Martzloff approaches directly. Perhaps the greatest contribution his book makes is the chance it offers to consider issues of cultural context as significant, determining factors in the history of mathematics. Thus, Martzloff tries to get inside the Chinese mind, to explain how and why mathematics developed as it did in China, and often in ways strikingly different from its Western counterparts. Although he does not always account for these differences, he succeeds admirably in describing them, which results in a refreshingly rich sense of its evolution as well." Joseph W. Dauben, Historica Mathematica 20, 1993

Details

  • Title A History of Chinese Mathematics
  • Author S. S. Wilson (Translator); Jean-Claude Martzloff; Foreword by J. Gernet
  • Binding Paperback
  • Edition Corrected
  • Pages 487
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date August 29, 2006
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9783540337829 / 3540337822
  • Weight 1.54 lbs (0.70 kg)
  • Dimensions 9.2 x 6.1 x 0.8 in (23.37 x 15.49 x 2.03 cm)
  • Library of Congress Catalog Number 2006927803
  • Dewey Decimal Code 510.951
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A History of Chinese Mathematics

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A History of Chinese Mathematics
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A History of Chinese Mathematics

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