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基本説明
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.
Full Description
This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is 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.
Contents
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.