Re: Complex variable

Caerwyn Esgydiad wrote:
>
> "Dave Seaman" <dseaman@xxxxxxxxxxxx> wrote in message
> news:dn1kb1$ivj$1@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> > On Mon, 05 Dec 2005 12:40:51 GMT, Caerwyn Esgydiad wrote:
> >
> > > "Elena Rojo" <elena.rojo@xxxxxxxxxxxxxxxxx> wrote in message
> > > news:dn19ku$ool$1@xxxxxxxxxxxxxxxxxx
> > >> Hi, I am doing a research about complex variable and I would like to
> know
> > >> something about "Cauchy Theorem". Can you help me, please??
> > >>
> > >>
> >
> > > well cauchys theorem says that the path integral of a complex function
> > > around any closed curve iz zero. what do you need to know?
> >
> > No, that's not what the theorem says.
>
> where did i go wrong..?

1. The closed curve must be simple ("Jordan", to be precise).

2. The function must be *analytic* within the region bounded by
the curve and contiuous on the curve. FYI, "analytic" means
it satisfies the Cauchy-Riemann equations.


--
Julian V. Noble
Professor Emeritus of Physics

http://galileo.phys.virginia.edu/~jvn/

"For there was never yet philosopher that could endure the
toothache patiently."

-- Wm. Shakespeare, Much Ado about Nothing. Act v. Sc. 1.
.

Relevant Pages

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    ... On Mon, 05 Dec 2005 16:30:39 GMT, Caerwyn Esgydiad wrote: ... >>> well cauchys theorem says that the path integral of a complex function ... Judge Yohn's mistakes revealed in Mumia Abu-Jamal ruling. ...
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  • Re: Complex variable
    ... On Mon, 05 Dec 2005 12:40:51 GMT, Caerwyn Esgydiad wrote: ... > well cauchys theorem says that the path integral of a complex function ... Judge Yohn's mistakes revealed in Mumia Abu-Jamal ruling. ...
    (sci.math.symbolic)
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