《算法统宗》和《尘劫记》

Calculation Orthodox and Jinko-ki

中国明代数学家程大位的《算法统宗》流传至日本后,日本数学家吉田光由根据此书创作了和算的开山之作《尘劫记》,《算法统宗》对《尘劫记》的影响在该书中随处可见,如珠算的采用、数学理论的模仿等,而"遗题继承"及短歌的出题方式同样缘起于《算法统宗》,并成为《尘劫记》的文化特征,之后更成为日本和算的文化传统。

Jinko-ki,a pioneering work of Japanese Wasan,was developed by Japanese mathematician Junso Yoshida,based on Calculation Orthodox( Suan Fa Tong Zong) written by Cheng Dawei,a Chinese mathematician in the Ming Dynasty. Calculation Orthodox exercises predominant influences upon Jinko-ki,for example,the use of abacus,imitation of mathematical theories. More importantly,originated from Calculation Orthodox,the two modes of compiling test questions,'Yi Ti Ji Cheng'( inherited questions,literally) and'Duan Ge'( short songs,literally) are seen as the cultural characteristics of Jinko-ki,and tradition of Japanese Wasan.