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平面中的几何和拓扑

Geometry And Topology In The Plane
课程网址: https://ocw.mit.edu/courses/18-900-geometry-and-topology-in-the-p...  
主讲教师: Prof. Paul Seidel
开课单位: 麻省理工学院
开课时间: 2023-01-01
课程语种: 英语
中文简介:
本课程使用易于可视化的概念向学生介绍几何和拓扑学的选定方面。我们混合了几何主题(如双曲几何或台球)和更多的拓扑主题(如平面中的环)。该课程适合之前没有接触过微分几何或拓扑学的学生。可以把它想象成一次适度的徒步旅行,俯瞰几何和拓扑景观的各个部分。钻头是平坦的,钻头是上坡的,偶尔会有岩石部分(可能每个人的不同),但没有一个被设计成悬崖面。课程从一个主题快速转移到下一个主题,因此不断学习很重要。
课程简介: This course introduces students to selected aspects of geometry and topology, using concepts that can be visualized easily. We mix geometric topics (such as hyperbolic geometry or billiards) and more topological ones (such as loops in the plane). The course is suitable for students with no prior exposure to differential geometry or topology. Think of it as a moderate hike, overlooking various parts of the geometry and topology landscape. Bits are flat, bits are uphill, there are occasional rocky parts (may be different for everyone), but none that are designed to be cliff faces. The class moves from one topic to the next quickly, so it’s important to learn continuously.Show less  
关 键 词: 选定方面; 几何主题; 微分几何
课程来源: 麻省理工学院公开课
数据采集: 2024-02-07:chenjy
最后编审: 2024-02-07:chenjy
阅读次数: 12