Little is known about the life of Archimedes. He was born in Syracuse, Sicily around 287 BC. He studied at Alexandria in Egypt, where he spent most of his life in mathematical research. He studied with the successors of Euclid [Heath, xvi].
He was killed by a Roman soldier during the sack of Syracuse in 212 BC while Archimedes was staring at some figures he had drawn in the sand [Heath, xvii].
Archimedes is most famously known for his "Eureka moment." He was hired by Hieron, the ruler at the time, to determine whether or not the craftsmen
who made the crown stole some of the gold in the process. Because the crown was irregularly shapped, Archimedes was unable to use traditional methods
to figure out the crown's density. One day while bathing in the public bath house, Archimedes discovered that the water level rose when he got in the pool
and realized that he could figure out the density of the king's crown by placing it in a bathtub and measuring the amount of displaced water. Upon this
discovery, Archimedes ran from the bath house, shouting "Eureka! I have found it!" [Kaplan, 484]