After the collapse of the Ur III Dynasty in the Middle East around 2000 BCE the region fragmented into several different rival states which fought amongst themselves trying to establish overall political control. This lasted throughout the Middle Bronze Age and the Late Bronze Age, until the Assyrian Empire rose to control the whole region in the late 8th Century BCE. This chapter of the book is split into three sections, and this blog post is only really about the first of these which covers the earlier and more southern & eastern states in the region.
For the second part of his Bloomsbury Summer School study day on cuneiform Irving Finkel talked about the Cyrus cylinder which was found in Iraq during excavation at Babylon in 1872. It is a cylinder of baked clay which is covered in cuneiform writing, and you can see it at the British Museum. The largest part actually belongs to the BM, and there's another fragment that they have on permanent loan from Yale. (My photo below is actually of a replica, I think the real thing was on loan somewhere at the time I took the photo a couple of years ago.)