论玄学思潮对刘徽《九章算术注》的影响

在中国古代数学史上,魏晋时期的数学家刘徽所著《九章算术注》无疑是一部划时代的伟大著作.刘徽在该书中对以《九章算术》为代表的中国传统数学进行了全面系统的整理和阐发,并提出了许多创造性的新见解,由此奠定了中国古典数学的理论基础.刘徽著《九章算术注》的时代,正是经学衰微、玄学盛行的时代,从书中可以发现玄学思潮对刘徽数学探索工作的全面而深刻的影响,刘徽的杰出成就与这一时代思潮有着密不可分的关系.

The Influence of the Trend of Metaphysics on ＂The Anno- tations to Arithmetic in Nine Sections＂

In the history of ancient Chinese mathematics, ＂The Annotations to Arithmetic in Nine Sections＂, which is written by mathematician Liu Hui in wei-jin period, is a landmark great book undoubtedly. In the book, which is carried through compre- hensive and systematic sorting and expounded of Chinese tradi- tional mathematics, with ＂The Annotations to Arithmetic in Nine Sections＂ as a representative, and is proposed a lot of creative new ideas. Thus, the book lays a theoretical foundation of Chi- nese classical mathematics. The period of ＂The Annotations to Arithmetic in Nine Sections＂, is the period of Confucian classics declining, metaphysics prevailing. It can be seen that meta- physics trend has deep and comprehensive influences on Liu Hui＇s work. It also can be said that Liu Hui＇s outstanding achievement has close relationship with the current thought.