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#1 2009-11-01 03:28:38

Identity
Member
Registered: 2007-04-18
Posts: 934

A sum by Ramanujan

I read somewhere that Ramanujan said that

Does anyone know how this came about or where I might go to read more about it? Thanks

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#2 2009-11-01 18:26:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,150

Re: A sum by Ramanujan

Hi identity;

Read that too, it kept Indian mathematicians from taking him seriously. That is only true in Ramanujan Summation. There is also Cesaro Sums amd Borel summation, each is a different approach to summing a divergent series. They are sometimes useful in Physics.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#3 2009-11-03 19:24:06

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: A sum by Ramanujan

Thanks bobbym, I'll check it out... ramanujan was a very interesting person

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#4 2009-11-03 20:40:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,150

Re: A sum by Ramanujan

Hi identity;

Yes, he was. The whole story is interesting. Hardy once said that he rated himself 25 and Littlewood a 30 and Hilbert 80 but Ramanujan 100. When you consider that Hardy ,Littlewood and Hilbert were considered among the best in the world, then you understand Ramanujan a little better.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

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