Article View: sci.math.num-analysis
Article #1196Re: Polynomials
From: Proginoskes
Date: Fri, 06 Aug 2004 07:35
Date: Fri, 06 Aug 2004 07:35
32 lines
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2624 bytes
Gregory Toomey <nospam@bigpond.com> wrote in message news:<2ned6lFvud2uU1@uni-berlin.de>...
> Proginoskes wrote:
>
> > Gregory Toomey <nospam@bigpond.com> wrote in message
> > news:<2n8jqpFtbojkU1@uni-berlin.de>...
> >> Jon wrote:
> >>
> >> > Polynomial Roots to any Degree
> >> > Vector Calculus Method
> >>
> >> We has enough of this nonsense last month.
> >>
> >> http://mathworld.wolfram.com/QuinticEquation.html
> >> Unlike quadratic, cubic, and quartic polynomials, the general quintic
> >> cannot be solved algebraically in terms of a finite number of additions,
> >> subtractions, multiplications, divisions, and root extractions, as
> >> rigorously demonstrated by Abel (Abel's impossibility theorem) and
> >> Galois.
> >
> > That argument doesn't work, since he's now thrown in the natural log
> > function ...
> > -- Christopher Heckman
>
> Its not an argument like you hear at the pub, its a proof thats been around
> since the 1800s.
>
> You can throw in logarithms as well but it makes no difference.
I hadn't heard that (about Abel's proof also working with logarithms). What
else can you add and still be unable to find the roots of general
polynomials?
-- Christopher Heckman
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X-Google-Thread: 107079,1597f9db3cddef58 X-Google-Thread: 109d8a,1597f9db3cddef58 X-Google-Thread: f72df,1597f9db3cddef58 X-Google-Thread: 103471,1597f9db3cddef58 X-Google-Thread: 1139f8,1597f9db3cddef58 X-Google-Thread: 10d67e,1597f9db3cddef58 X-Google-Thread: 1130d6,1597f9db3cddef58 X-Google-Thread: f6df2,1597f9db3cddef58 X-Google-Attributes: gid107079,gid109d8a,gidf72df,gid103471,gid1139f8,gid10d67e,gid1130d6,gidf6df2,public X-Google-Language: ENGLISH,ASCII-7-bit Path: arc1-ca.pugleaf.net!g2news1.google.com!postnews2.google.com!not-for-mail From: proginoskes@email.msn.com (Proginoskes) Newsgroups: sci.math.num-analysis,sci.math,japan.sci.math,han.sci.math,fr.sci.maths,aus.mathematics,alt.math.recreational,bln.sci.mathematik Subject: Re: Polynomials Date: 6 Aug 2004 00:35:17 -0700 Organization: http://groups.google.com Lines: 32 Message-ID: <953c225f.0408052335.15dce37f@posting.google.com> References: <J2EPc.23857$iK.8050@newsread2.news.atl.earthlink.net> <2n8jqpFtbojkU1@uni-berlin.de> <953c225f.0408031956.6d6f3cff@posting.google.com> <2ned6lFvud2uU1@uni-berlin.de> NNTP-Posting-Host: 67.224.21.190 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: 8bit X-Trace: posting.google.com 1091777717 1046 127.0.0.1 (6 Aug 2004 07:35:17 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Fri, 6 Aug 2004 07:35:17 +0000 (UTC)