circulation to the level of prices. There was soon great concern with ways and means of speeding up arithmetical calculations: It is hard for us to realize how laborious and slow were the means at the disposal of medieval Europeans for dealing with calculations ‘which seem to us of the simplest character’. The introduction of Arabic numbers into Europe provided more easily manipulated counters than the Roman numbers, and the use of Arabic numbers seems to have spread rapidly towards the end of the sixteenth century, at least on the Continent. Between about 1590 and 1617 John Napier invented his curious ‘bones’ for calculating. He followed this invention with his more celebrated discovery of logarithms. This was widely