毕业论文___带余除法及其应用研究.docVIP

学校代码: 11059 学 号:1107011032 Hefei University 毕业论文（设计） BACHELOR DISSERTATION 论文题目: 带余除法及其应用研究 学位类别: 理学学士 学科专业: 信息与计算科学 作者姓名: 孟飞飞 导师姓名: 余海峰 完成时间: 2015年05月03日  带余除法及其应用研究 摘要 本文的主旨思想是带余除法的简单介绍以及带余除法在日常生活中的应用，整片论文都围绕带余除法来展开论述，先是介绍带余除法的来源及课题意义，然后通过整数的带余除法和多项式的带余除法让大家对带余除法的应用有一个更深的认识。最后通过实例来展现其在应用研究中所起到的作用。 本文的正文是介绍整数和多项式的带余除法，从这二个层面可以认识到带余除法是一种普遍应用于生活中的思想。可以这样说多项式的带余除法是整数带余除法的推广，所以有必要对整数带余除法进行介绍，多项式的带余除法中将涉及辗转相除法的介绍，整除的基本概念与基本性质、最大公因式、公共根、重根以及一元多项式矩阵的相关性质。下面就开始进入本文的正题吧! 关键词：一元多项式 带余除法 辗转相除法 最大公因式 一元多项式矩阵 With more than division and its application research ?abstract Purpose of this article is more than with division of simple introduction, and with the application of the division in the daily life, the whole piece of paper around with yu to discourse upon the division, first introduced more than with the source of the division and the topic significance, and then through more than more than with division and polynomial with integer division let everybody to take over the application of the division has a deeper understanding. Finally by an example to show its application in play a role in the study. The body of this paper is to introduce more than integer and polynomial division, from the two aspects can be realized with residual division is a common used in the life of thought. More than can say this polynomial with division is the development of more than integer with division, so it is necessary to carry out more than integer with division, polynomial with residual division will involve division algorithm is introduced, the basic concept of divisible and basic properties, the biggest common factor, public root, root and the characters of one yuan polynomi