3blue1brown
@3blue1brown·8.4M subscribers·240 videos
The Wallis product for pi, proved geometrically
Posted
April 20, 2018
Views
902,572
Likes
23,047
Comments
1,083
Engagement
2.67%
April 20, 2018
902,572
23,047
1,083
2.67%
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25:27Now PlayingA geometric proof of a famous Wallis product for pi.
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If you want to dive into the relevant ideas required to make this proof more rigorous, the relevant search term is "dominated convergence".
Here's a good blog post on the topic:
In the video, I referenced our own blog post expanding on this argument. Unfortunately, it managed to get lost during a website transition.
Another approach to this product by Johan Wästlund:
With more from Donald Knuth building off this idea:
Music by Vincent Rubinetti:
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