图 书 馆
度量空间与连续性Metric spaces and continuity |
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| 课程网址: | https://www.open.edu/openlearn/science-maths-technology/metric-sp... |
| 主讲教师: | 信息不详。欢迎您在右侧留言补充。 |
| 开课单位: | 信息不详。欢迎您在右侧留言补充。 |
| 开课时间: | 2018-03-09 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | This free course contains an introduction to metric spaces and continuity. The key idea is to use three particular properties of the Euclidean distance as the basis for defining what is meant by a general distance function, a metric. Section 1 introduces the idea of a metric space and shows how this concept allows us to generalise the notion of continuity. Section 2 develops the idea of sequences and convergence in metric spaces. Section 3 builds on the ideas from the first two sections to formulate a definition of continuity for functions between metric spaces. |
| 关 键 词: | 度量空间; 距离函数; 连续性 |
| 课程来源: | 英国开放大学 |
| 数据采集: | 2024-10-28：zsp |
| 最后编审: | 2024-10-28：zsp |
| 阅读次数: | 4 |