大衍术算法的推进和简化研究  

Advance and simplifyed study of Dayanshu's Algorithm

作　　者：刘芹英[1] 

机构地区：[1]西北大学数学系数学与科学史研究中心,陕西西安710069

出　　处：《河南科学》2003年第6期684-689,共6页Henan Science

摘　　要：大衍术是中国中世纪数学家的一项世界领先的创造。秦九韶在其所著的《数书九章》中首创了大衍术的算法。启发了后代学者对大衍术算法的进一步研究和改进。但在这些算法中,几乎没有一种是用珠算来解决的。本文给出了该算法的珠算程序,通过比较研究可以看出,在所述的各种算法中,这是最简捷的,而且更容易搬到计算机上。Dayanshu is a leading creation of Chinese Mathematician in the world. Qin Jiushao creaded the Dayanshu's Algorithm in his book: 《Mathematical Treatise in Nine Chapters》. It was studed and improvedaroused by later scholar. But almost one was given by Zhusuan in all Algorithm. This paper has a Zhusuan procedure of Dayanshu, which is the forthright in all Aigorithm. The Zhusuan procedure It is easier that Zhusuan procedure was copyed to computer.

关 键 词：大衍术 中国 中世纪 数学 模数 同余式 整数论 

分 类 号：O112[理学—数学]