[net.math] Hilbert's Problems

sbq@verdix.UUCP (05/05/84)

The latest Scientific American has an article on Turing Machines
by John Hopcroft.  The article refers to a series of problems
posed by Hilbert in the year 1900 that were unsolved at that
time.  I have seen references to these problems elsewhere and
wonder where I might be able to get a survey type of article
about these problems?  That is, a list of the problems, which of
them are still unsolved (if any), how the others were solved,
who solved them, etc.

Sam Quiring
Verdix, Western Operations
{decwrl!sequent, tektronix!ogcvax, allegra!ogcvax} !verdix!sbq

rew@hao.UUCP (05/07/84)

The American Mathematical Society published "Mathematical Developments
Arising from Hilbert Problems" in 1976, a two volume set in the Proceedings
of symposia in pure mathematics (v. 28) from a symposium held at Northern
Illinois University in 1974.  This contains Hilbert's original article
as well as papers on what has been accomplished in solving each of the
original twenty-three problems.
-- 

                                                    Russ Rew

   { hplabs | nbires | brl-bmd | seismo | menlo70 } !hao!rew

trough@ihuxa.UUCP (Chris Scussel) (05/07/84)

I'll second the request for a survey article of Hilbert's problems. I've
seen occassional articles about one of the problems, but never the whole
list in one place. 

				Chris Scussel
				AT&T Bell Labs
				ihnp4!ihuxa!trough

gmf@uvacs.UUCP (05/07/84)

Re: references to Hilbert's problems

There have been 2 or 3 books on this in the last few years.  I
associate one of them in my mind with the American Mathematical
Society.  Being books, they are probably easier to trace than
articles.  I can get exact references for you when I get back
to my home institution in a week or so.

     Gordon Fisher