This is a very different type of history from what I've usually read. Instead of narrative history, it is cultural history. Before reading this book, one should have a decent sense of the outline and main players in Greek history. Burckhardt does not spend time explaining who did what when, defining terms, or giving biographies of various figures. Instead he presents a history of Greek attitudes and mores, with copious illustrations from all types of literature. His technique seems to have been to read every surviving scrap of written material from the ancient world, digest it, and synthesize it into trends and patterns. This is the ultimate example of presenting the forest instead of the trees.
I first heard of Burckhardt's history of the Greeks when reading Oswyn Murray's "Early Greece." Murray, writing in 1980, said that Burckhardt's history was the best ever written, but sadly not available in English. Fortunately, he helped to remedy that situation later on, resulting in this book. Burckhardt did not actually write this in book form—the work derives from his lecture series on Greek history. His nephew later compiled his lecture notes, along with notes and memories taken from students who heard him speak, into a 4-volume compendium. The book I read includes only parts of the 4-volume work. According to the introduction, Oswyn Murray selected the most relevant portions, leaving out parts that had become outdated due to more recent archaeological discoveries, etc. (An appendix shows exactly which portions are included, for those who are interested.) Sheila Stern then was responsible for the translation from German into English.
I have another English translation of Burckhardt's history, which includes a different selection of excerpts from the 4-volume magnum opus. Murray evidently found this translation and selection unsatisfactory. I will be curious to see how it differs, and to read more of Burckhardt's insights. Once I started reading "The Greeks and Greek Civilization" I grabbed up every book I could find by Burckhardt. He is most famous for his book (actually conceived as a book this time, not just a converted lecture series) on the Italian Renaissance. I am also looking forward to his book on the Age of Constantine.
I highly recommend this book to anyone interested in the Greeks—you will learn so much about what drove them. But as I mentioned above, you should know the basics before you read Burckhardt, or else it will be a flood of unfamiliar names, places, and concepts.