A History of Chinese Mathematics (eBook)

Jean-Claude Martzloff (Autor)

eBook Download: PDF

2006 | 1. Auflage
XXIV, 490 Seiten
Springer-Verlag
978-3-540-33783-6 (ISBN)

Infos

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.

Inhalt

Foreword by J. Gernet 7
Foreword by J. Dhombres 9
Preface 14
Contents 17
Abbreviations 20
The Context of Chinese Mathematics 22
1. The Historiographical Context 23
2. The Historical Context 33
3. The Notion of Chinese Mathematics 61
4. Applications of Chinese Mathematics 67
5. The Structure of Mathematical Works 70
6. Mathematical Terminology 80
7. Modes of Reasoning 87
9. The Transmission of Knowledge 96
10. Influences and Transmission 105
11. Main Works and Main Authors (from the Origins to 1600) 139
The Content of Chinese Mathematics 193
12. Numbers and Numeration 194
13. Calculating Instruments 224
14. Techniques for Numerical Computation 232
15. Geometry 287
16. Indeterminate Problems 320
17. Approximation Formulae 337
18. Li Shanlan's Summation Formulae 353
19. Infinite Series 364
20. Magic Squares and Puzzles 373
Appendix I: Chinese Adaptations of European Mathematical Works (from the 17th to the Beginning of the 20th century) 381
Appendix II: The Primary Sources 400
Index of Main Chinese Characters 402
References 413
Index of Names 470
Index of Books 481
Index of Subjects 486

Produkt-Details

• Erscheint lt. Verlag: 1.1.2006
• Vorwort: J. Dhombres, J. Gernet
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Technik
• Schlagworte: China • Conceptual History • Ethnomathematik • Ethonomathematics • Finite • Geometry • History of Mathematics • Ideengeschichte • Mathematics • Mathematikgeschichte
• ISBN-10: 3-540-33783-0 / 3540337830
• ISBN-13: 978-3-540-33783-6 / 9783540337836