图 书 馆
超越无限Beyond infinity |
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| 课程网址: | http://unow.nottingham.ac.uk/resources/resource.aspx?hid=e8b0159c... |
| 主讲教师: | Joel 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: |  |
| 课程简介: | This popular maths talk gives an introduction to various different kinds of infinity, both countable and uncountable. These concepts are illustrated in a somewhat informal way using the notion of Hilbert's infinite hotel. In this talk, the hotel manager tries to fit various infinite collections of guests into the hotel. The students should learn that many apparently different types of infinity are really the same size. However, there are genuinely "more" real numbers than there are positive integers, as is shown in the more challenging final section, using Cantor's diagonalization argument. |
| 关 键 词: | 数学讲座; 无限酒店; 对角化论证 |
| 课程来源: | 信息不详。欢迎您在右侧留言补充。 |
| 最后编审: | 2018-12-18：wrq |
| 阅读次数: | 72 |