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A History of Chinese Mathematics
With Forew. by Jaques Gernet and Jean Dhombres
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Artikel-Nr:
9783540337829
Veröffentl:
2006
Seiten:
487
Autor:
Jean-Claude Martzloff
Gewicht:
810 g
Format:
235x154x29 mm
Sprache:
Englisch
Beschreibung:
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.
Devoted to the history of Chinese mathematics from its origins to the beginning of the 20th century, this book draws directly from original sources as well as from the most recent Chinese, Japanese and western research on the subject. It uses throughout a critical and comparative approach, setting each development clearly within its intellectual and socio-cultural context and explaining HOW and WHY the Chinese mathematical tradition developed in such a radically different way to its western counterparts.
The Context of Chinese Mathematics.- The Historiographical Context.- The Historical Context.- The Notion of Chinese Mathematics.- Applications of Chinese Mathematics.- The Structure of Mathematical Works.- Mathematical Terminology.- Modes of Reasoning.- Chinese Mathematicians.- The Transmission of Knowledge.- Influences and Transmission.- Main Works and Main Authors (from the Origins to 1600).- The Content of Chinese Mathematics.- Numbers and Numeration.- Calculating Instruments.- Techniques for Numerical Computation.- Geometry.- Indeterminate Problems.- Approximation Formulae.- Li Shanlan's Summation Formulae.- Infinite Series.- Magic Squares and Puzzles.