Mathematical headaches? Problem solved!
Hi, I'm Colin, and I'm here to help you make sense of maths
Written by Colin+ in silly questions amnesty.
Got something that's bugging you about maths? Post it below for a no-names-no-packdrill reply.
It doesn't matter how silly. If your one-times table is eluding you, give me a shout and we'll figure it out.
Colin is a Weymouth maths tutor, author of several Maths For Dummies books and A-level maths guides. He started Flying Colours Maths in 2008.
He lives with an espresso pot and nothing to prove.
It seems that Ramanujan said:
1 + 2 + 3 … = -1/12
For instance, it is mentioned in the play A Disappearing Number. It\’s mentioned here: http://bit.ly/SdZi0V and here http://bit.ly/RB7Yw2.
But that can\’t be right! What is he on about?
Best question EVER.
In honesty, I have no idea, even after looking it up.
It seems like Euler came up with the same \’answer\’ a different way, using something called zeta function normalisation; Ramanujan came up with another method using the partial sums. I don\’t understand either of them, but might put some work into putting that right.
To the best of my gathering, both of the methods give a number that\’s not a sum in the normal sense, but a number that helps classify divergent series (ones which don\’t have a well-defined limit — like this one).
Some links that might help:
Thanks for the question — sorry I can\’t be more help!
Watch this! http://youtu.be/w-I6XTVZXww
I’m even more baffled now because the ‘proof’ is not all that complicated…
I’ve written a piece that explores the ‘traditional’ analysis of it (which says, of course, that it’s undefined) – going live tomorrow (January 15th).
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I teach in my home in Abbotsbury Road, Weymouth.
It's a 15-minute walk from Weymouth station, and it's on bus routes 3, 8 and X53. On-road parking is available nearby.
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