Bibliography:

One of the following manuals:

Crawford, H. (ed.), 2013, The Sumerian World, Routledge, London-New York.
Matthews, R., 2003, The Archaeology of Mesopotamia: Theories and Approaches, Routledge, London-New York.
Potts, D. T. (ed.), 2012, A Companion to the Archaeology of the Ancient Near East, vols. I-II, Whiley-Blackwell, Malden.

Additional options:

Nadali, D. – Polcaro, A. (eds.), 2015, Archeologia della Mesopotamia Antica, Carocci Editore, Roma. [_{ONLY IN ITALIAN, BUT WITH LOTS OF ILLUSTRATIONS, CHARTS, DRAWINGS, SCULPTURES, RELIEFS AND GLYPTIC, IT HAS ALSO DOWNLOADABLE ONLINE MATERIALS}].
Pollock, S., 1999, Ancient Mesopotamia, Cambridge University Press [_{FOR GENERAL PUBLIC}].