: Jean-Claude Martzloff
: A History of Chinese Mathematics
: Springer-Verlag
: 9783540337836
: 1
: CHF 33.20
:
: Naturwissenschaft
: English
: 490
: DRM
: PC/MAC/eReader/Tablet
: PDF
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.
Foreword by J. Gernet7
Foreword by J. Dhombres9
Preface14
Contents17
Abbreviations20
The Context of Chinese Mathematics22
1. The Historiographical Context23
2. The Historical Context33
3. The Notion of Chinese Mathematics61
4. Applications of Chinese Mathematics67
5. The Structure of Mathematical Works70
6. Mathematical Terminology80
7. Modes of Reasoning87
9. The Transmission of Knowledge96
10. Influences and Transmission105
11. Main Works and Main Authors (from the Origins to 1600)139
The Content of Chinese Mathematics193
12. Numbers and Numeration194
13. Calculating Instruments224
14. Techniques for Numerical Computation232
15. Geometry287
16. Indeterminate Problems320
17. Approximation Formulae337
18. Li Shanlan's Summation Formulae353
19. Infinite Series364
20. Magic Squares and Puzzles373
Appendix I: Chinese Adaptations of European Mathematical Works (from the 17th to the Beginning of the 20th century)381
Appendix II: The Primary Sources400
Index of Main Chinese Characters402
References413
Index of Names470
Index of Books481
Index of Subjects486