算筹、算法与数学机械化

COUNTING ROD,ALGORITHM AND MATHEMATICAL MECHANIZATION

本文从现代计算机技术的角度来分析中国传统数学机械化的“硬件系统”和“软件系统”。重点论述算筹是中国传统数学机械化的物质基础，优越的计算工具和十进位置值制记数法为数学机械化提供了得天独厚的条件；而制定算法是数学的根本，也可以说是中华民族的价值观在数学中的表现，变换技术和改进算法是数学机械化的核心内容。中国传统数学的算法化倾向以及算筹的不断改进、完善，又促使机械化水平的提高和计算技术的长期发达。

This paper analyses the “hardware system”and “software system”of ancient Chinese mathematical mechanization from the standpoint of Modern computer technique,putting stress on analysing that counting rod is the material base of ancient Chinese mathematical mechanization.Superior computting tool and decimal number system supply the mathematical mechanization with particularly favourable natural conditions,and laying down algorithm is the foundation of mathematics,which is enbody of traditional values of the Chinese nation.Technological transformation and algorithm improvement are the nuclear content,which improve the high mechanizational level and result in computting technology welldeveloped over a long period of time.