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Re: series multisections due to Simpson?
Posted:
Aug 11, 2008 11:07 AM
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On Aug 10, 4:23 pm, galathaea <galath...@gmail.com> wrote:
> 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
>
> personally
> i don't think the title is grand enough
> for an eighteenth century piece
>
> it should probably use the word "prolegomena" somewhere
> and have more dipthongs
>
> it is also surprising that the theorem
> came so late in the series revolution
>
> i'd expect even some of the early guys
> maybe even wallis
> might have known this
>
> -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
> galathaea: prankster, fablist, magician, liar
I don't really have anything to contribute to this thread, but I was
hoping to get galathaea's take on wedge products over on
http://groups.google.com/group/sci.physics/browse_frm/thread/2c86c90eb9bf898d/09e45d37bf5e9bbb
Titled " Exterior algebras, wedge products, and all that..."
I've just been delving into this and it seems to have alot of soft
spots.
I could use some feedback if you have the time.
- Tim
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