Thursday, January 22, 2015

Math and Games Images

Konigsberg Bridge Problem  > Graph Theory > Topology









Atomic Structure  > Knot Theory > Science Applications




Kelvin's model of atoms as knotted ether is not pictured above but was being considered in the 1860s, so it would fall between Dalton's model and the plum pudding model.




Math as Game

Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game
A Mathematician's Apology by G. H. Hardy (London 1941).