This is fun cooking and well done. Well representative of the cuisines and done with helpful hints on each.
A workhorse for the cook willing to use it to branch out and experiement in these formative areas of food history. For openers, try Spareribs with Black Beans and Pepper Sauce, Halvah Cake or the Seafood Risotto.
My humble opinion is that Roman cooking is slighted out of the three. See Malto Mario for some great Rome recipes.