图 书 馆
变分学导论Introduction to the calculus of variations |
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| 课程网址: | https://www.open.edu/openlearn/science-maths-technology/introduct... |
| 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: | 2018-03-12 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | This free course concerns the calculus of variations. Section 1 introduces some key ingredients by solving a seemingly simple problem – finding the shortest distance between two points in a plane. The section also introduces the notions of a functional and of a stationary path. Section 2 describes basic problems that can be formulated in terms of functionals. Section 3 looks at partial and total derivatives. Section 4 contains a derivation of the Euler-Lagrange equation. In Section 5 the Euler-Lagrange equation is used to solve some of the earlier problems, as well as one arising from a new topic, Fermat’s principle. |
| 关 键 词: | 变分法; 函数路径; 静止路径 |
| 课程来源: | 英国开放大学 |
| 数据采集: | 2024-10-26：zsp |
| 最后编审: | 2024-10-26：zsp |
| 阅读次数: | 2 |