Persia is in a mountanious region, the golden age of Islam took place during the Abbasid caliphate which its capitals were Kufa and Baghdad, not Persia, though Iraq was part of Persian dynasties before the whole Arab invasion, and it was mentioned as Iranian heartland, it still is not Persia. Most inventions took place in Baghdad though people from all over the caliphate came there to study.
Were Iraqi's Persians before they converted into Arabs? I remember Babylon was a major city in the Persian empire.