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Approximation by Rationals: A New Focus

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Manage episode 427415769 series 3584634
Content provided by Carol Jacoby. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Carol Jacoby or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.

Joseph Bennish, Prof. Emeritus of CSULB, describes the field of Diophantine approximation, which started in the 19th Century with questions about how well irrational numbers can be approximated by rationals. It took Cantor and Lebesgue to develop new ways to talk about the sizes of infinite sets to give the 20th century new ways to think about it. This led up to the Duffin-Schaeffer conjecture and this year's Fields Medal for James Maynard.

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72 episodes

Artwork
iconShare
 
Manage episode 427415769 series 3584634
Content provided by Carol Jacoby. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Carol Jacoby or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.

Joseph Bennish, Prof. Emeritus of CSULB, describes the field of Diophantine approximation, which started in the 19th Century with questions about how well irrational numbers can be approximated by rationals. It took Cantor and Lebesgue to develop new ways to talk about the sizes of infinite sets to give the 20th century new ways to think about it. This led up to the Duffin-Schaeffer conjecture and this year's Fields Medal for James Maynard.

  continue reading

72 episodes

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