图 书 馆
经典力学的计算方法12.620J / 6.946J / 8.351J Classical Mechanics: A Computational Approach |
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| 课程网址: | http://ocw.mit.edu/courses/earth-atmospheric-and-planetary-scienc... |
| 主讲教师: | Gerald Sussman ; Jack Wisdom |
| 开课单位: | 麻省理工学院 |
| 开课时间: | 2008-01-01 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | We will study the fundamental principles of classical mechanics, with a modern emphasis on the qualitative structure of phase space. We will use computational ideas to formulate the principles of mechanics precisely. Expression in a computational framework encourages clear thinking and active exploration. We will consider the following topics: the Lagrangian formulation; action, variational principles, and equations of motion; Hamilton's principle; conserved quantities; rigid bodies and tops; Hamiltonian formulation and canonical equations; surfaces of section; chaos; canonical transformations and generating functions; Liouville's theorem and Poincaré integral invariants; Poincaré-Birkhoff and KAM theorems; invariant curves and cantori; nonlinear resonances; resonance overlap and transition to chaos; properties of chaotic motion. Ideas will be illustrated and supported with physical examples. We will make extensive use of computing to capture methods, for simulation, and for symbolic analysis. |
| 关 键 词: | 经典力学; 计算经典力学; 经典力学的结构; 拉格朗日; 哈密顿原理 |
| 课程来源: | 信息不详。欢迎您在右侧留言补充。 |
| 最后编审: | 2018-06-13：刘燕飞(课程编辑志愿者) |
| 阅读次数: | 64 |