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数学分析

Mathematical analysis
课程网址: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=c6c045f6...  
主讲教师: Joel F. Feinstein
开课单位: 诺丁汉大学
开课时间: 信息不详。欢迎您在右侧留言补充。
课程语种: 英语
中文简介:
这是一个模块框架。它可以在线查看或作为zip文件下载。这是2009-2010年的教学内容。本模块以数列极限、实数性质和微积分知识为基础,介绍数学分析。它包括欧几里得空间、微分和积分之间函数的极限和连续性。通过研究大量实例的性质,并发展相关理论,引入了各种非常重要的新概念,并强调严格的证明。本模块适用于本科二年级的学习。乔尔·范斯坦博士是诺丁汉大学纯数学副教授。在剑桥大学读完数学之后,他在利兹大学攻读博士学位。他在利兹做了一年的博士后,然后在梅努斯(爱尔兰)做了两年的讲师,然后在诺丁汉找到了一个固定的职位。他的主要研究方向是泛函分析,尤其是交换巴拿赫代数。范斯坦博士发表了两篇关于他在本科生数学教学中使用信息技术的案例研究。2009年,范斯坦博士因在这一领域的成功创新而获得诺丁汉大学迪林勋爵教学奖。
课程简介: This is a module framework. It can be viewed online or downloaded as a zip file. It is as taught in 2009-2010. This module introduces mathematical analysis building upon the experience of limits of sequences and properties of real numbers and on calculus. It includes limits and continuity of functions between Euclidean spaces, differentiation and integration. A variety of very important new concepts are introduced by investigating the properties of numerous examples, and developing the associated theory, with a strong emphasis on rigorous proof. This module is suitable for study at undergraduate level 2. Dr Joel Feinstein, School of Mathematical Sciences Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham. After reading mathematics at Cambridge, he carried out research for his doctorate at Leeds. He held a postdoctoral position in Leeds for one year, and then spent two years as a lecturer at Maynooth (Ireland) before taking up a permanent position at Nottingham. His main research interest is in functional analysis, especially commutative Banach algebras. Dr Feinstein has published two case studies on his use of IT in the teaching of mathematics to undergraduates. In 2009, Dr Feinstein was awarded a University of Nottingham Lord Dearing teaching award for his popular and successful innovations in this area.
关 键 词: 模块框架; zip文件; 微积分
课程来源: 信息不详。欢迎您在右侧留言补充。
最后编审: 2018-12-17:wrq
阅读次数: 162