中国剩余定理探析  

The study of the Chinese Remainder Theorem

作　　者：姜春艳[1] 

机构地区：[1]武警学院基础部,河北廊坊065000

出　　处：《武警学院学报》2005年第3期89-91,共3页Journal of the Armed Police Academy

基　　金：武警学院2003~2004教改课题"数学背景知识:联系人文与自然科学的纽带"(200317)

摘　　要：“中国剩余定理”是中国传统数学中关于一次同余式理论的一项杰出成就,它源于中国数学典籍《孙子算经》中的“物不知数”问题,秦九韶在《数书九章》(1247)中将这一问题发展为求解一次同余式组的一般方法,称为“大衍总数术”。西方人直到1801年才由高斯明确写出这一定理,随后西方著作就把一次同余式组的这一解法称为“中国剩余定理”。The Chinese Remainder Theorem is one of the greatest achievements in the Chinese traditional mathematics,which is on the theory of congruence of first degree. It’s from the problem of the “Wu Buzhishu” in the Chinese classical mathematical work Sunzisuanjing. And then QIN Jiu-shao gave the general method to solve the problem named “Dayan Zongshushu” by QIN Jiu-shao. Because the method was not found until Gauss accomplished did it in 1801, it was called Chinese Remainder Theorem.

关 键 词：中国剩余定理 大衍总数术 秦九韶 

分 类 号：O112[理学—数学]