The Wallis product for pi, proved geometrically
A geometric proof of a famous Wallis product for pi.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/wallis-thanks
Here's a supplemental blog post, expanding some of the rigor of this proof, along with other interesting tidbits about surrounding topics that we didn't fit into the video:
https://www.3blue1brown.com/sridhars-corner/2018/4/17/wallis-product-supplement-dominated-convergence
Another approach to this product by Johan Wästlund:
http://www.math.chalmers.se/~wastlund/monthly.pdf
With more from Donald Knuth building off this idea:
https://apetresc.wordpress.com/2010/12/28/knuths-why-pi-talk-at-stanford-part-1/
Music by Vincent Rubinetti:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Видео The Wallis product for pi, proved geometrically канала 3Blue1Brown
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/wallis-thanks
Here's a supplemental blog post, expanding some of the rigor of this proof, along with other interesting tidbits about surrounding topics that we didn't fit into the video:
https://www.3blue1brown.com/sridhars-corner/2018/4/17/wallis-product-supplement-dominated-convergence
Another approach to this product by Johan Wästlund:
http://www.math.chalmers.se/~wastlund/monthly.pdf
With more from Donald Knuth building off this idea:
https://apetresc.wordpress.com/2010/12/28/knuths-why-pi-talk-at-stanford-part-1/
Music by Vincent Rubinetti:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Видео The Wallis product for pi, proved geometrically канала 3Blue1Brown
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