E-Book, Englisch, 490 Seiten
Martzloff A History of Chinese Mathematics
1. Auflage 2006
ISBN: 978-3-540-33783-6
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, 490 Seiten
ISBN: 978-3-540-33783-6
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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.
Autoren/Hrsg.
Weitere Infos & Material
2;Foreword by J. Gernet;7
3;Foreword by J. Dhombres;9
4;Preface;14
5;Contents;17
6;Abbreviations;20
7;The Context of Chinese Mathematics;22
7.1;1. The Historiographical Context;23
7.2;2. The Historical Context;33
7.3;3. The Notion of Chinese Mathematics;61
7.4;4. Applications of Chinese Mathematics;67
7.5;5. The Structure of Mathematical Works;70
7.6;6. Mathematical Terminology;80
7.7;7. Modes of Reasoning;87
7.8;9. The Transmission of Knowledge;96
7.9;10. Influences and Transmission;105
7.10;11. Main Works and Main Authors (from the Origins to 1600);139
8;The Content of Chinese Mathematics;193
8.1;12. Numbers and Numeration;194
8.2;13. Calculating Instruments;224
8.3;14. Techniques for Numerical Computation;232
8.4;15. Geometry;287
8.5;16. Indeterminate Problems;320
8.6;17. Approximation Formulae;337
8.7;18. Li Shanlan's Summation Formulae;353
8.8;19. Infinite Series;364
8.9;20. Magic Squares and Puzzles;373
9;Appendix I: Chinese Adaptations of European Mathematical Works (from the 17th to the Beginning of the 20th century);381
10;Appendix II: The Primary Sources;400
11;Index of Main Chinese Characters;402
12;References;413
13;Index of Names;470
14;Index of Books;481
15;Index of Subjects;486
