Re: differential/algebraic geometry



David C. Ullrich wrote:
> On 20 Jun 2005 10:12:59 -0400, lrudolph@xxxxxxxxx (Lee Rudolph) wrote:
>
> >"Orion" <danny99@xxxxxxxxxxxx> writes:
> >
> >>Is differential/algebraic geometry and multilinear algebra basically
> >>one and the same?
> >
> >No. What makes you ask?
>
> I know, I know, I know, call on me! I know...
>
> He asked because he was curious whether differential/algebraic
> geometry and multilinear algebra were basically one and the same.
>
> Now, why he thought that they _might_ be basically one and
> the same is another question. Which possibly I can answer as
> well, having the advantage of not knowing much more differential
> geometry than he does: One sees those funny wedge thingies
> in the notation used in differential geometry, one gets the
> idea that they're multilinear thingies, one doesn't "know"
> any other place wherer multilinear thingies arise, and so
> one wonders.
>
> Exactly one, of course. (I'll let someone else handle
> the question of how one might get the idea that it made
> sense to talk about "differential/algebraic" geometry,
> as though _they_ were more or less the same thing...)
>
> >Lee Rudolph
>
>
> ************************
>
> David C. Ullrich

Differential geometry and algebraic geometry are very similar areas.
It's just that algebraic geometry is the correct extension of linear
algebra which is slightly more modern.

.

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