《算学启蒙》在日本的流传及影响

Spreading of Suanxue Qimeng (Introduction to Mathematical Studies) and its Influence in Japan

对《算学启蒙》在日本的流播情况进行了考察,对现存日本的不同时期《算学启蒙》的翻刻本、训点本和注释做了介绍,并对该书在和算学发展中的作用作了探讨.

Suanxue qimeng (算学启蒙) (Introduction to Mathematical Studies), the Chinese mathematical book by Zhu Shijie(朱世杰), a famous mathematician of the Yuan Dynasty, was first published in 1299 in China. This book was lost in the early Ming Dynasty, and was found again in China and reprinted only in late 1830s. It does not seem to have had any impact on the development of mathematics in Ming Dynasty and early Qing Dynasty, but had a great influence on the development of mathematics in Japan in the same period. Moreover, its introduction to Japan in the late 16th century, where it was first published in 1658, and reprinted and commented for many times. The Versions were widespread among the Japanese mathematicians in Edo period. In this paper, the authors made an investigation on spreading of 'Suanxue qimeng' in Japan in the following aspects: (1) History of spreading of the book in Japan (2) Basic situation of the extant versions and Comparisons of the different Versions (3) the role of the book played on the development of Wasan.