Numberphile

Ben Sparks with stunning visual proofs of some famous sums of series. More links & stuff in full description below ↓↓↓ More Ben on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLDKmnxLg8477hrxY33LL6q Ben Sparks: http://www.bensparks.co.uk/ Sum of the Integers (if you dare): https://www.youtube.com/playlist?list=PLt5AfwLFPxWK2zCU-4X1iuuu5m8hf6L1B Geogebra files from this video... Triangle numbers, sum of integers: https://www.geogebra.org/m/dmtqdkth Sum of squares: https://www.geogebra.org/m/bx26yyac Sum of cubes: https://www.geogebra.org/m/ytbpufrf Books... Why Don't Rabbits Rule the World: https://amzn.to/4h3yWhJ Maths: 100 Ideas in 100 Words: https://amzn.to/3RIpB4n Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9