Esposito produces an excellent readable history of Islam and its powerful impacts on Western Civilization. Espositio gathered a large number of scholars, each to produce a different chapter covering issues like math, philosophy, politics, etc. While no single volume could cover so vast a subject, the reader is left with what is almost certainly the best introduction to Islam. While many people, unfortunately, have bought Karen Armstrong's Short History of Islam, this text is far superior in almost every way. Not only is it more thorough and better written, it also deals with Islam from within as well as from without. Islamic culture is examined not from the perspective of an outsider with rose colored glasses, but from several distinguished and Muslim and non-Muslim scholars with a firm background in the subject.
There is not doubt that no single volume could do all of Islamic history justice. However, this book with its rich photographs and strong prose, is probably as good an introduction as you could get under a single cover.
