摘要
鼎盛于宋元时代的中算方程论在和算与清代数学中又有着新的不同发展，从和算这一视角探讨中算方程论之特质与局限性，具有重要意义。该文通过对中日方程论之基础及发生机制的数理分析，比较了和算与清代方程论的不同成就及其成因，认为增乘开方法是中日方程论的基础，和算开方代数化与清代数学研究的注释性是造成中日方程论发展迅异的根本原因。
The theory of equations, which was in full bloom in the Song and Yuan Dynas-ties, made a new progress different from wasan and the mathematics of the Qing Dynasty. Itis of great significance to approach its characteristics and limitations from wasan angles.Analysing the basis and operation of it between China and Japan, this paper points out that thezeng-cheng method for the extraction of roots was the basis. And the chief reason why thetheory of equations in the two countries developed differently was the extraction of roots inwasan and the annotation in the mathematical research of the Qing Dynasty.
出处
《自然科学史研究》
CSCD
1999年第3期206-221,共16页
Studies in The History of Natural Sciences
关键词
中算
清代数学
增乘开方
方程论
中国
日本
wasan, traditional Chinese mathematics, mathematics of the Qing Dynasty,zeng-cheng method for the extraction of roots, theory of equations
