The muon (g-2) experiment at Brookhaven National Laboratory (BNL E821) has
produced a series of increasingly precise measurements of the anomalous
magnetic moment of the muon, a_mu.  Our most recent result (July 2002) was
a measurement of a_mu to a precision of 0.7 parts per million.  A
discrepancy between the experimental and theoretical values, if it exists,
would indicate the possibility of new physics beyond the Standard Model.
In this talk I will discuss the physics principles behind the experiment,
as well as some of the key features of the data analysis.  A brief summary
of the current status of the Standard Model calculation, and an outlook
towards the future will also be provided.