I learned A LOT from this book, and overall it is nicely written and very readable. The biggest critique to level at this book is one that I honestly would not have noticed had one of my PhD committee members not mentioned it (though since she did I recognize the problem). The title of this book claims that it is the anthropology of infectious disease but in reality it is the cultural anthropology of infectious disease. Singer largely neglects to incorporate the work of physical anthropologists and archaeologists who have studied infectious disease, and there are many who have. For example, if Singer is trying to represent anthropology's contribution as a whole to the study of infectious disease he could have included a chapter on the work these subfields have done on infectious disease in prehistoric and ancient populations.
That being said, I like the incorporation of public health perspectives and discussions of medical anthropological theory that are included. He does a nice job incorporating theory in a readable way and gives good summaries of these perspectives, like critical medical anthropology. I also think his chapter on syndemics is an important one and he does an excellent job throughout illustrating the interplay between biology and culture in the way infectious diseases play out around the world.
If you have any interest in infectious disease and/or medical anthropology definitely add this to your reading list!