CTK Insights

2010 Fields Prize Winners

admin — Sun, 05 Sep 2010 12:16:12 +0000

The list of the 2010 Fields Prize Winners is now available on the web. There are two articles, The laudations and The work profile, that introduce each of the winners and throw light on their mathematics. The laudations is an extensive math biography, the work profile is a popular rendition of the winner’s achievement. This [...]

2010 Fields Prize Winners is a post from: CTK Insights

Squares in Triangles

admin — Fri, 03 Sep 2010 15:26:48 +0000

Here is a simple problem I found in a recent book from MAA (C. Alsina, R. B. Nelsen, Charming Proofs, p. 89.) Geometric constructions of a square inscribed in a triangle are well known. There are two ways to inscribe a square into a right isosceles triangle: Which square has the larger area? The problem [...]

Squares in Triangles is a post from: CTK Insights

An Application of Fermat’s Last Theorem

admin — Fri, 03 Sep 2010 03:18:41 +0000

Theorem For any greater than is irrational. The following proof has been submitted by Richard Ehrenborg, University of North Carolina, Charlotte and published in the American Mathematical Monthly (May 2003, 423) with a remark that the proof was found by William Henry Schultz, at the time an undergraduate at UNC-Charlotte. The proof has been reproduced [...]

An Application of Fermat’s Last Theorem is a post from: CTK Insights