解读《尘劫记》序文

The Understanding of “Jinkouki” Preface

摘要: 《尘劫记》是日本江户时代的和算家吉田光由以中国明代数学家程大位的《算法统宗》等中国数学著作为参考创作的实用数学著作，曾对日本社会产生过巨大影响。该书不仅内容上全盘学习中国数学，而且文中对中国数学和中国文化的引据亦随处可见。本论文旨在通过文化的视点，分析吉田在序文中所引据的与中国数学和中国文化相关的经典的来源及用意，探究中国古代数学作为实用科学被日本学者习得的具体过程，以及对日本社会生活产生的深远影响，以期对这个少有中国学者问津的课题起到抛砖引玉的效果。

Abstract: “Jinkouki”, which was written by Yoshida Mituyoshi, an expert of Japanese mathematics, referred to Cheng Dawei’s “Suanfa Tongzong” and other Chinese mathematics books, had a huge impact on Japanese society. Not only the content completely learned Chinese mathematics, we can also see a lot about Chinese culture in the book everywhere. This paper aims to analyze what and why Yoshida had referenced classical Chinese culture in the preamble through the cultural point of view, in order to explore the process that Japanese scholars learned ancient Chinese mathematics, and the profound influence on Japanese social life which was given by Chinese mathematics. The aim of thesis is to offer a few commonplace remarks by way of introduction so that others may come up with valuable opinions about the study.