Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natural numbers (from 1 to infinity) produces an "astounding" result.
ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk
NY Times article on this: http://nyti.ms/1iftqSv
Tony Padilla and Ed Copeland are physicists at the University of Nottingham.
They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols
Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4
Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it.
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Google Plus: http://bit.ly/numberGplus
Videos by Brady Haran
A run-down of Brady's channels: http://bit.ly/bradychannels
Tagged under: numberphile,sum,natural numbers,integers,infinity,Natural Number
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