On Jul 14, 10:30 pm, arithmeticae <djes...@gmail.com> wrote: > 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.
Maybe not in "any text on numbers", but back in 1945 I purchased a copy of "Handbook of Engineering Fundamentals", by Eshbach, and the cube root extraction scheme described there was precisely the same as the scheme described on one of the links given on the above website. I used that method lots of times in my engineering career when I needed more precision than my trusty log-log duplex decitrig slide rule was able to give me.
