Chapter Six. Ancient Chinese Mathematics

2011 ◽  
pp. 188-245
Keyword(s):  
Ancient Chinese Mathematics

Ancient Chinese Mathematics

2018 ◽  
pp. 106-128
Author(s):  
Alexei Volkov
Keyword(s):  
Linear Equations ◽  
Simultaneous Linear Equations ◽  
Ancient Chinese Mathematics ◽  
Mathematical Texts

The chapter studies nine long-known extant Chinese mathematical texts, and three recently excavated texts, all composed prior to the beginning of the Sui 隋 dynasty (581–618 ce). Most of these were compiled for use as school texts. They include problems on fractions, on proportions and extraction of square and cube roots, on simultaneous linear equations and computations of areas and volumes. Among the more advanced techniques deployed in these texts are computing the area of a circle, that is, obtaining certain approximate values of π; computing the volume of a pyramid; and computing the volume of a sphere.

scholarly journals A short remark on the solution of Rachford-Rice equation

2018 ◽  
Vol 22 (4) ◽  
pp. 1849-1852 ◽  
Author(s):  
Ling Lin ◽  
Dan-Ni Yu ◽  
Chun-Hui He ◽  
Yanping Liu
Keyword(s):  
Engineering Applications ◽  
Pocket Calculator ◽  
Hands On ◽  
Ancient Chinese Mathematics ◽  
The Ancient Chinese ◽  
Flash Calculation

A fast flash calculation of the Rachford-Rice equation is very much needed in many engineering applications, especially in multi-component mixtures. This paper suggests a direct and hands-on calculation by a pocket calculator or a Chinese abacus. The calculation is based on an ancient Chinese mathematics called as He Chengtian average. An example is given to show the simplicity and effectiveness of the ancient Chinese algorithm.

Historically Speaking,— On ancient Chinese mathematics

1963 ◽  
Vol 56 (6) ◽  
pp. 424-432
Author(s):  
D. J. Struik
Keyword(s):  
Sources Of Information ◽  
Ancient Chinese Mathematics

Those wishing to obtain information on ancient Chinese mathematics, and ignorant of the language, have always been handicapped by the scarcity of sources of information. Most of our knowledge had to be gathered from one book by the Japanese mathematician Yoshio Mikami, published in 1913 and written in English [1].*

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