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A History of Chinese Mathematics

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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 bibliography.
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Overview

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 bibliography.
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Editorial Reviews

From the Publisher
From the reviews:

"...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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Product Details

  • ISBN-13: 9783540547495
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 12/28/1996
  • Pages: 485
  • Product dimensions: 6.45 (w) x 9.50 (h) x 0.98 (d)

Table of Contents

Foreword
Foreword
Preface
Abbreviations
Pt. I The Context of Chinese Mathematics
1 The Historiographical Context 3
2 The Historical Context 13
3 The Notion of Chinese Mathematics 41
4 Applications of Chinese Mathematics 47
5 The Structure of Mathematical Works 51
6 Mathematical Terminology 61
7 Modes of Reasoning 69
8 Chinese Mathematicians 75
9 The Transmission of Knowledge 79
10 Influences and Transmission 89
11 Main Works and Main Authors (from the Origins of 1600) 123
Pt. II The Context of Chinese Mathematics
12 Numbers and Numeration 179
13 Calculating Instruments 209
14 Techniques for Numerical Computation 217
15 Geometry 273
16 Indeterminate Problems 307
17 Approximation Formulae 325
18 Li Shanlan's Summation Formulae 341
19 Infinite Series 353
20 Magic Squares and Puzzles 363
App. I Chinese Adaptations of European Mathematical Works (from the 17th to the Beginning of the 19th Century) 371
App. II The Primary Sources 391
Index of Main Chinese Characters 393
References 405
Index of Names 463
Index of Books 475
Index of Subjects 481
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