The Discovery That Transformed Pi

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Published 2021-03-16
For thousands of years, mathematicians were calculating Pi the obvious but numerically inefficient way. Then Newton came along and changed the game. This video is sponsored by Brilliant. The first 314 people to sign up via brilliant.org/veritasium get 20% off a yearly subscription.

Happy Pi Day!

References:
Arndt, J., & Haenel, C. (2001). Pi-unleashed. Springer Science & Business Media — ve42.co/Arndt2001

Dunham, W. (1990). Journey through genius: The great theorems of mathematics. Wiley — ve42.co/Dunham1990

Borwein, J. M. (2014). The Life of π: From Archimedes to ENIAC and Beyond. In From Alexandria, Through Baghdad (pp. 531-561). Springer, Berlin, Heidelberg — ve42.co/Borwein2012

Special thanks to Alex Kontorovich, Professor of Mathematics at Rutgers University, and Distinguished Visiting Professor for the Public Dissemination of Mathematics National Museum of Mathematics MoMath for being part of this Pi Day video.

Special thanks to Patreon supporters: Jim Osmun, Tyson McDowell, Ludovic Robillard, jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Lyvann Ferrusca, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal

Written by Derek Muller and Alex Kontorovich
Animation by Ivy Tello
Filmed by Derek Muller and Raquel Nuno
Edited by Derek Muller
Music by Jonny Hyman and Petr Lebedev

Additional Music from epidemicsound.com/ "Particle Emission", "Into the Forest", "Stavselet", "Face of the Earth", "Firefly in a Fairytale"

Thumbnail by Gianmarco Malandra and Karri Denise

All Comments (21)
  • @davidjohn4364
    Newton giving a lecture - "Hi guys, today we're talking about circles. The first thing you wanna do is invent calculus."
  • @ikeatable1
    If it was anybody but Newton or Euler this would be one of the most iconic moments in mathematical history. The fact that this is one of the least interesting things that Newton discovered is completely insane.
  • @betterideas
    I really like this video because I didn’t understand 99% of the math, yet I was invested. It felt like something important was unraveling before me, and I was excited by that. And that’s the power of good storytelling.
  • @kimi9572
    Imagine having a career so illustrious that discovering a groundbreaking way to accurrately find pi is just one of your side achievements
  • @ariearie5054
    Imagine spending 25 years of your life on something, and then a 23 year old kid comes along and beats you in a week while being in lockdown
  • @yt_sricharanp
    If only my Math teacher explained it like this back in my college days ...
  • Me during quarantine: Plays video games all day Newton during quarantine: Creates groundbreaking mathematical solutions
  • @saddlepiggy
    “Luckily, Newton had just invented Calculus.” Bruh chill out Newton leave some discoveries for the rest of us.
  • @ruttolomeo1987
    Newton’s quarantine: boring. Let’s upgrade human understanding of mathematics. My quarantine: homemade pizza.
  • @joshc5613
    Everyone is talking about how genius Newton is, but really, we need to shout out Archimedes for solving pi to an almost unnecessary level of precision 1800 years before Newton even came along
  • @harrokrog4707
    When this man said:“Luckily he just invented calculus“ like its not even that great. I realised what a genius he was. Sadly we dont learn about that in school
  • @mrunfunny
    Imagine working on something for 25 years only to find out that someone did it while playing with an equation during a pandemic.
  • "We should always know the extent to which the rules have a chance of working farther" - I like that phrase
  • @miceyfb
    Newton was one incredible man
  • @veritasium
    Also shout out to Indian mathematician and astronomer Madhava of Sangamagrama, who in the 14th century had a different infinite series for pi that converged as fast as Newton's
  • @andrewzmorris
    "Luckily he had just invented calculus" unbelievable
  • @dufushead
    Love it. After 65 years I've finally understood what the teachers were trying to teach me. Odd remembering and piecing together all those fragments of memories largely because they were ajumble of unrelated abstract ideas which you gave coherence, meaning and understanding too. If only you'd been around when my kids were at school. Cheers Prof !
  • This video is an absolute masterpiece of storytelling. The beauty of discovery comes through so well. I watch this every few months, and I'm inspired every single time
  • @HSC82388
    Now I understand how my dog feels when I'm talking to it.