Showing posts with label combinatorics. Show all posts
Showing posts with label combinatorics. Show all posts

Wednesday, April 18, 2012

Following Euler in Koenigsberg

     The Köenigsberg Bridges have an important link to mathematics -- for mathematician Leonhard Euler (1707-1783) took a legendary Köenigsberg puzzle-pastime as the seed for development of a new branch of mathematics, graph theory (which is now generally included under the umbrella of combinatorics).  As the story goes, Köenigsberg residents made a Sunday recreation of trying to tour their city, crossing each of its seven bridges exactly once.  This problem is perhaps particularly fascinating because of its impossibility -- a dilemma cause by the existence of odd (rather than even) numbers of bridges between the parts of this water-separated city.

Tuesday, July 20, 2010

In the same family -- a poet and a mathematician

When a poet and a mathematician are members of the same family, understandings result.  Ohio poet Cathryn Essinger is a twin of a mathematician and writes about this relationship.  Here are opening stanzas of two of her poems.