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Re: series multisections due to Simpson?
Posted:
Aug 10, 2008 5:09 PM
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galathaea ???????:
> On Aug 10, 12:35 pm, Bill Dubuque <w...@nestle.csail.mit.edu> wrote:
> > galathaea <galath...@gmail.com> wrote:
> >
> > > [...] this general method can attack any of the problems
> > > which partition sums in terms m (mod n)
> > > using the general simpson multisection formula
> >
> > Why do you attribute series multisections to Simpson?
>
> i've never followed the attribution
> but a few books
> (like andrews, askey, roy among others)
> give the reference:
>
> "the invention of a general method
> for determining the sum of every
> second, third, fourth, or fifth, etc.
> terms of a series
> taken in order
> the sum of the whole series being known"
> by thomas simpson, 1759
> philosophical transactions of the royal society of london
> v50, p757-769
>
Thank you for the reference, I was looking it for the long
time..
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