This will apply to most first-time visitors to Iceland. The book does mention some of the more obvious trips you might make from the capital, but concentrates on the city itself.
It's a bit like a mini Rough Guide. Not stuffy, seems to know about the 'in' places to eat and be seen, the cool places to go, and yet has all the basic, sensible stuff you'll want to know about a city before you go there.
I'd say it's just about on the money.
It focuses on things that are fun, historical, and/or quirky. For instance, there is an interesting and helpful commentary on Pingvellir National Park, home of the world's first elected parliament and general assembly (930 AD), and the huge geysers ("Geysir" and "Strokkur", which are, in fact, very impressive.) If you are into art there are numerous small and large art galleries and museums around Reykjavik, and this book details all the ones you might want to see (my favorite is the ASI Art Museum (www.asi.is, if you are interested), and the much stranger (and vastly creepier, yet less funny than expected) Iceland Phallogical Museum which is stuck away on Laugavegur, a key street in the main city shopping and arts district. It is just too weird to believe, but while you're there, you really owe it to yourself to visit, preferably not immediately after eating a large Mexican lunch, like I did (trust me on this one.) If you are into nightclubs, there are reviews of all of the happening places in Reykjavik, such as Club NASA. All types of transportation and lodging options (from the beautiful grand 'Hotel Borg', where I most recently stayed, to the Salvation Army Hostel accommodations for sleeping bags) are presented, and will definitely assist you in finding a place to stay that is in your budget and to your tastes.
The point of all this is simple: if you are going to visit Reykjavik, especially for the first time, you need this book. It has information that will be useful to absolutely anyone, as well as commonly called numbers, and several small but useful maps. As an aside, order it when it is in stock, it sometimes is unavailable for long periods, so grab it while you can. Don't go to Reykjavik without it.