• 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

Daniel Ruberman: Mathematics, Topology and Manifolds #5

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  • サマリー

  • 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!
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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!
続きを読む 一部表示

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