I can only really comment on the train/bus option - have no idea what the road route would look like from Glasgow (short of getting to the Omni roundabout in Edinburgh, ,left and taking the first right onto the London road - keep on that and you'd see the stadium after about a mile and a quarter).
Take the train into Waverley, then walk to St Andrews Square - get a bus heading off the square into Queen Street - heading east - any one of the 26, 44 or 4, as far as I remember, go right past Meadowbank.
The bus is even easier - assuming it gets into the main bus station, just walk out of there, go down Elder Street, cross over Queen Street and get one of the aforementioned buses.
Also - FYI -
http://www.lothianbuses.co.uk/howto/findRoute.asp
[hr]
[i]Is tresa tuath na tighearna