极限思想的产生和发展 学位论文.doc

本科生毕业论文（设计） 题 目 　　极限思想的产生和发展　 The Emergency and Development Of Limit 专 业 数学与应用数学 院 部 数学与计算机科学学院 学 号 xx 姓 名 xx 指 导 教 师 xx 答 辩 时 间 二○一四年五月 论文工作时间： 2013 年 12月 至 2014 年 5月 极限思想的产生和发展 摘 要：本文主要论述极限思想的产生和发展历史．在极限思想产生和发展的每个阶段，介绍一些相关的数学家代表以及他们的理论．极限思想是近代数学的一种重要思想，所谓极限思想，是指用极限概念分析问题和解决问题的一种数学思想．极限思想的产生与完善是社会实践的需要，它的产生为数学的发展增加了新的动力，成为了近代数学思想和方法的基础和出发点．通过了解极限思想的产生和发展，让人们对学习关于极限思想的数学知识更有兴趣；通过了解极限思想的产生和发展，人们可以从有限认识无限，从“不变”认识“变”，从直线认识曲线，从量变认识质变，从近似认识精确．在探求极限思想起源与发展的过程中，会发现数学这个美丽的世界，享受探求数学这个美妙的过程． 关键词： 极限思想； 产生； 发展 The Emergence and Development Of Limit Undergraduate:xx Supervisor: xx Abstract:This paper mainly discuss the generation of limit and its development．I will introduce you some related mathematicians and their theories during its different periodLimit thought is an important thought of modern mathematics, namely a mathematical thought used to solve and analysis problems．The emergence and development of the limit idea is of practical need to society, it also promotes the development of math as a new power, which becomes the foundation and starting point of the modern mathematical thoughts and methods．By learning the emergence and development of the limit idea, people will be more interested in some mathematical questions on limit thought．They can know things from finite to infinite, from invariant to variant also, they can understand curve from straight line, qualitative change from quantitative change and exactness from approximation with the help of the limit thought．I hope that everyone will find what a beautiful mathematical world it is and enjoy this wonderful process when you explore the origin and development of limit thought in mathematics． Key words:limit thought ; generation; development