唐代敦煌寫卷《立成算經》的編撰特點與影響

敦煌寫卷《立成算經》改編自《孫子算經》，內容爲基礎算法知識的大綱，在編撰意圖上強調速成，在編撰形式上注重簡潔，多採用4字句、「爲」字句型，語句更爲流暢，近於口訣，易於讀誦。其中的九九乘法歌中加入了數碼和加法運算，豐富了九九乘法歌的功能，增強了實用性。《立成算經》應該是唐代出現的一部用於初學者算術入門的口訣書，解決了初學者想要算術速成的需求。宋代以後的《重編詳備碎金》、《事林廣記》、《明本大字應用碎金》中算法部分保存了《立成算經》的核心內容，並編撰形式上亦注重簡潔，是《立成算經》一脈之餘裔。

關鍵字

敦煌寫卷；《立成算經》；《孫子算經》；算術；九九乘法歌；口訣

並列摘要

The arithmetic book which is named Licheng Suanjing, is adapted from a famous arithmetic book Sun Tzu Suanjing. This book is an outline of the arithmetic knowledge that can be mastered quickly. In order to make the sentences more fluid and easier to learn, this book has a concise content, and use more four-word and ＂爲＂ sentences like the formula. As part of this book, the Ninety-nine multiplication song adds the counting symbol and addition, it enriches the function and practicability of the multiplication song. Licheng Suanjing should be a formula book for beginners to learn basic knowledge of arithmetic in the Tang Dynasty, which solves the needs of beginners to quickly master the arithmetic methods. The arithmetic parts from Chongbian Xiangbei Suijin, Shilin Guangji, and Mingben Dazi Yingyong Suijin which appeared after Song Dynasty, preserves the core content of Licheng Suanjing, and it's also paying attention to simplicity in form, it can be said that it comes down in one continuous line with Licheng Suanjing.