This book is a great introductory option for anyone interested in the history of Ancient Greece, whether you are just curious about the topic or actively pursuing a degree/career in relation to the subject (i.e. Classical Studies, Archaeology, etc.).
I felt like there could have been a bit more effort put into the descriptions/explanations of the maps, artifacts, and inscriptions throughout the book. Additionally, there are frequent mentions of the Ancient Near East, which had major influences on the history of Ancient Greece (to say the least); but mentions of said topic are left open-ended and vague. Some knowledge of the Ancient Near East (in its own right) is what is necessary for this book to be properly understood by the reader; otherwise, the material presented is inappropriately isolated and misinterpreted (by the reader) to an extent.
What I appreciated about this book is the consistent sections of "Suggested Readings" at the end of most chapters. That is a great way to provide someone with limited to no prior knowledge on the history of Ancient Greece further credible resources to continue with. I absolutely love it when academic books provide suggested/further readings lists.
Side note: Many sections of this book rely on a wide range of archaeological evidence to support various conclusions. I also recommend readers to obtain the latest edition of any book that heavily relies on material like this, mainly because there are new discoveries and shifts in prevailing thought on a very regular basis (especially for places like Greece and Rome, where archaeological digs are still happening, in contrast to many crucial Near Eastern sites where war and legislation has indefinitely stalled further in-field research). There are likely to be some significant changes to every edition.