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Hello there.

This is Numberphile. We mainly post videos about mathematics and just numbers in general.

ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12

ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12

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
MORE: http://youtu.be/0Oazb7IWzbA 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 hear 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.

Knight's Tour

Knight's Tour

Pi is Beautiful

Pi is Beautiful