At the Citadel, on the summit of Jebel al-Qala'a, are extensive remnants of the city's many past incarnations. Evidence of habitation here stretches back to the Bronze Age. The collection of ruins include a Roman temple, a Byzantine church, and a large Umayyad era palace with a well-preserved audience hall.
Even if history isn't your thing, it's worth coming up here for the views. Here, upon Amman's highest point, the city rolls out before you with its white stone houses creeping in regimented rows across the surrounding hills.