《缀术算经》“自质说”及其理学思想渊源

The JiJitsuSetsu in Tetsujutsu Sankei and its Neo-Confucianism Origin

江户时代日本数学家建部贤弘（Takebe Katahiro，1664-1739）的《缀术算经》（1722）不同于其他东亚传统算书，书中尽管充满创造性的算法，但其著作目的并非单纯叙述算法，而是通过具体算例阐述数学方法论及其研究算学的感悟，书末所附“自质说”集中阐述其数学思想与方法论。文章分析“自质说”的数学思想。追溯其思想在宋明理学中的渊源，以揭示中国哲学对日本传统科学文化的影响。

TetsuJutsu Sankei, written by Takebe Katahiro （1664-1739） in Edo era, which is different from other mathematical books, it contains original math achievements, but the intention of this book is not to state algorithm,but to convey the mathematical inspiration and thoughts of Takebe＇s whole researching life. The JiJitsuSetsu at the end of this book states Takebe＇s mathematical thoughts and methodology.This article analyzes the mathematical thoughts in JiJitsuSetsu and its Neo-Confucianism origin, to reveal the influence that the Chinese philosophy brings to Japanese traditional science culture.