第一论文稿.doc

毕 业 论 文 设 计 课题名称：浅谈π的研究与大学课程的联系 学院： 理学院 专业： 数学与应用数学 班级： 一班 指导教师：方秀男 学生姓名：蒋海鹏 题目：浅谈π的研究与大学课程的联系 姓名：蒋海鹏 学号：0401014102 佳木斯大学理学院数学与应用数学 二0 0 八 年 六 月 摘 要 首先回顾数学中对于π的研究史，其中包含对于π的求法的发展过程。数学的发展造就了计算π的方式和方法的发展。从此入手，通过对古今中外数学家对于计算圆周率的各种手段和方法的探讨与研究，将圆周率计算过程的演变为与大学课程联系到一起，都是由浅到深，由易到难的过程。同时，通过对数学领域中计算π的各类方法的简单介绍，最终说明数学是一个统一的大整体，无论是代数还是几何，无论是微积分还是概率论，都能够求出共同的π值，把计算π的过程看作一条主线，大学数学中每门课程都或多或少的有π的影子。通过傅立叶级数中求π的几种方法，概率论中求π的几种方法的介绍，把数学作为一个整体的概念呈现在大家的面前。 另外，将简单介绍国内外一些数学家计算π的经历，有的数学家都是倾其一生来计算π值，在数学内的某一个领域中研究数学，并不是一朝一夕所能成就，研究数学要作为一种信仰，才能在研究数学的路上有所收获。 关键词：圆周率 π 级数 概率 Abstract First review mathematics in for the research history ofπ , among them include for beg of π method of development process.The development of mathematics educated calculation π of way and method of development.From now on commence, pass to the thou now various means and method of Chinese and Foreign mathematician to calculation pi of study and research, pi calculation turn into of process and university course contact arrive together.All is again shallow arrive deep, again easy arrive difficult process.Pass to fall into trap to calculate π to mathematics realm in the meantime of every variety method of simple introduction, end elucidation mathematics be an unify of big and whole, regardless is an algebra or several, regardless is a calculus or all rate theory, can beg common of π value, calculation π of the process see make a lord line, in university mathematics each course or many or littlely have the shadow ofπ .Mathematics conduct and actions one be whole and present in front in everyone.Main a few method signed a leaf to beg π in the series through a Fu, all beg π in the rate theory of a few method of introduction to elucidation. Moreover, will simple introduction domestic and international some mathematician calculation π of experience, have of all of mathematicians be a Qing it whole life come to compute π value, in a certain realm in mathematics research mathematics, is not a dynasty one night a