Artwork
iconShare
 
Manage episode 514131808 series 3690682
Content provided by Mike Breault. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Mike Breault 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://staging.podcastplayer.com/legal.
A deep dive into Weierstrass's famous construction: an infinite sum of cosines that stays continuous everywhere but has no tangent anywhere. We’ll unpack how shrinking amplitudes and rapidly increasing frequencies create endless jaggedness, trace the historical shock to 19th‑century intuition, compare with Riemann’s near-miss, and connect to fractals and modern analysis where such functions aren’t pathologies but natural in the landscape of continuous functions.

Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

Sponsored by Embersilk LLC

  continue reading

1377 episodes