CTK Insights» Beautiful math

Thought Provokers to Start a Class With, III

admin — Fri, 11 Nov 2011 20:11:04 +0000

The Extreme Principle The Extreme Principle is a misnamed problem-solving tactic akin to the Worst-Case Scenario often used in combinatorics and computer science. It does not make any claim (like, say, the Pigeonhole Principle) per se, but only suggests that, for some problems, looking into extreme circumstances or elements within the conditions of the problem [...]

Thought Provokers to Start a Class With, III is a post from: CTK Insights

On the Perimeters of Embedded Polygons

admin — Fri, 11 Nov 2011 15:16:06 +0000

There are mathematical statements that appear counterintuitive. For example, when it comes to infinities, counterintuitive statements are abundant. At the other extreme, there are statements intuitively obvious that are rather hard to prove. Such, for example, is the famous Jordan Curve Theorem. Naturally, mathematics does not lack in statements of any intermediate kind. Here is [...]

On the Perimeters of Embedded Polygons is a post from: CTK Insights

Magical Mathematics

admin — Mon, 31 Oct 2011 18:29:24 +0000

Many book authors end their book Introduction expressing the hope that readers will enjoy reading the book as much as the author(s) enjoyed writing it. Persi Diaconis and Ron Graham do not. Nonetheless, their book - Magical Mathematics - oozes their enjoyment at writing it. The authors are master storytellers. Movingly, Martin Gardner wrote Foreword [...]

Magical Mathematics is a post from: CTK Insights