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Daniel Ruberman: Mathematics, Topology and Manifolds #5
- 2024/06/25
- 再生時間： 2 時間 4 分
- ポッドキャスト
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サマリー
あらすじ・解説
Here is a conversation I've had with Daniel Ruberman, Professor of Mathematics.
Daniel's website: https://people.brandeis.edu/~ruberman/
Find Back to the Stone Age on:
- YouTube: https://youtube.com/playlist?list=PLZrhMJ5eusE_ACw6Ec3TqCbvDVZ6HP809&si=WhVnrLLAUuYW-Any
- Spotify: https://open.spotify.com/show/3pT8MUeR8bskcsuu8gmUGK
- Apple Podcast: https://podcasts.apple.com/us/podcast/back-to-the-stone-age/id1741219288
Outline
00:16 - Is math invented or discovered?
05:30 - Mathematics and the physical world
28:02 - Topology
38:00 - Manifolds and smooth manifolds
52:31 - Higher dimensions and low-dimensional topology
01:04:39 - Intuition about 4th dimension
01:24:01 - Gauge theories
01:38:02 - Knots and manifolds
01:44:33 - Applications of knot theory and topology
01:50:28 - Infinity
01:56:38 - Final thoughts
Enjoy Back to the Stone Age!