《数学论文模板.doc

分院名称：生学号 本科毕业论文 题目：专 业： 姓 名： 指导教师姓名： 指导教师职称： 2013年 月 摘要 函数是数学研究的主要对象，这是因为在我们的周围，大量的事物都需要用函数去描述它们的变化状态.例如，液体的流体，气温的上升，压力的增加等等.我们研究它们是否是连续变化，同时，还要研究这种变化的性质即函数的连续性与函数的光滑性.Abstract Function is the main research object of elementary mathematics and higher mathematics, this is because around us, many things need to use the function to describe the changes of their status. For example, liquid fluid, temperature, pressure increases. On the one hand, we study whether they are continuous change, at the same time, to study the changes of the smoothing property. It is in this study and the problems, which are continuous functions and smoothness of functions. From middle school to high school, learning function has been at the core position of mathematics. In addition, in the chemical, physical, biological sciences, function is everywhere. From a historical perspective, the influence function concept of mathematical and scientific development, can be said to be through the ancient and modern, delay for a long time, the role of extraordinary. Historical development review function concept, historical process at the function concept has been refined, deep, rich, is a very useful things. Understand the function of history not only helps to improve our understanding of the function concept definition of the sequence of events, but also can help us to understand the huge role of mathematics concept on the development of mathematics, mathematics learning, expression function and its analytical properties. Key Words: Function; expression; character analysis 目录 承诺保证书 I 摘 要 II Abstract III 函数发展史 5 1. 积分上限函数 6 1.1 关于积分上限函数的理论 7 1.2 积分限函数的几种变式 7 1.3 有积分限函数参与的题型举例 8 1.4 积分上限函数分析性质 12 2.函数列与函数项级数 13 2.1 基本概念 13 2.2 一致收敛条件 13 2.3 一致收敛性质 15 2.4 范例分析 16 3．隐函数 20 3.1 隐函数的表示方法 21 3.2 隐函数的分析性质 22 4.向量函数 25 4.1 向量函数的分析性质 25 结 论 26 参考文献 27 致 谢 28 函数发展史 早期函数概念 十七世纪伽俐略(G．Galileo，意，1564－1642)在《两门新科学》一书中，几乎全部包含函数或称为变量关系的这一概念，用文字和比例的语言表达函数的关系。1637