Re: cube root of a given number

On 16 jul, 01:13, Gottfried Helms <he...@xxxxxxxxxxxxx> wrote:
Am 15.07.2007 05:30 schrieb arithmeticae:

If you really like to analyze the most simple high-order root-solving
algorithms then you should take a look at:

http://mipagina.cantv.net/arithmetic/rmdef.htm

It is striking to realize that these new extremely simple artihmetical
algorithms do not appear in any text on numbers since Babylonian times
up to now.

Yes, I'd second that. It surprises me, that this method is
not more widely discussed. It is -at least- an amazing
approach in his simpliness and in its line of proceeding,
even if it should not be efficient.

Hope, it will make its way into some books, at least as
an annotation, or in journals/books which are dedicated
to recreational and surprising mathematics.

Gottfried

--

Gottfried Helms, Kassel

You certainly know what you are talking about because it is clear that
you have read
so much about the whole history of mathematics, and that make all this
issue so easy
for you.

I know that the reason for some people to make fierce oposition
against these
methods and try to cause confusion, is mainly due to the fact that my
critics on the whole root-solving story really hurt many math
historians. I'm so sorry for that, but I will continue by doing so.
The crude Truth is that it is striking to realize that such simple and
trivial methods do not appear in any book on numbers since Babylonian
times up to now, and this really hurts.

Be sure that some math-historians really wished to prevent people from
reading my webpages, and that
is the main reason you will not see these methods in any Journal on
the History of Mathematics, and be sure, that I have no intentions of
sending any single bit of these methods to any of them

Many thanks for all you clever comments on this matter.

Be sure that these methods will find their way all through Young
minds, there is no way that some
mathematicians could ever prevent people from knowing about all this,
I have no doubts about that.

Be sure, that in a non-distant future every single young student will
be enjoying this new math, and it is for sure that many of them will
create many new wonderful things based on the Rational Mean.

Warmest regards,
Respectfully,

Domingo Gomez Morin
Civil Engineer
Structural Engineer

Caracas
Venezuela








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