同余的几个实际应用

Some Practical Applications of Congruence

同余是《近世代数》和《离散数学》等课程的重要概念之一,具有较广泛的应用,然而传统的教学和教材,大多只介绍理论应用,造成它除了理论之外毫无用处的错觉.本文通过身份证号码、通用商品条形码、组织机构代码和书号四方面切入,介绍同余关系在我们生活中的实际应用,丰富教学内容,增强趣味性.

As one of the most important concept form Modern Algebra and Discrete Mathematics, congruence has many applications. However, during the traditional teaching course, the practical applications of congruence are always ignored. In order to enrich the teaching material, the applications of congruence in ID number, the Universal Product Code, National Organization Code and International Standard Book Number are introduced.