It's fun to learn Icelandic, because of its multifunctionality: even if the opening of the present Icelandic society to you may seem insignificant (with 290,000 speakers a very small language), you can also learn it for reading the medieval sripts of the Saga's and Edda's in their original form. And if you just enjoy learning languages, Icelandic may just be the step-up to Latin and Greek, also languages with plentiful inflections.
This book is very very cool for self-studying Icelandic, whatever your reason to learn this most beautiful language. The book is divided in 16 lessons, gradually introducing you to new aspects of language, not found in English. The environment is amazingly fun, Daisy Neijmann did an honourable job, finding press-cuttings and other helpful items to have you "playing" with the language, when doing exercises (with full key!). There are also Icelandic texts here and there, which you can translate, if you want, because the correct translation is given in the back. The texts and exercises almost always have something to with Iceland.
Icelandic is hard to learn, especially when you are not familiar to terms like "subject", "dative" and "article". Lucky for you, Daisy has included a full list with all those terms, so you'll be brushing up your English as well!
The separately sold cd set, is not essential, but makes the pronunciation easier and with it, you can create a moment of being totally snow-bound by the Icelandic language, which, above all, is a good thing to become more or less fluent!
Buy this, and you can look forward to knowing a fairly high amount of Icelandic, and if worked consequently and eager, already in 3 months!