The study of nuclear moments parallels the development of nuclear physics as a whole. Thus it can prove an excellent pedagogical tool to acquaint oneself with the complexities and elegance of some of the most current and powerful nuclear models, and it is this that the authors have attempted in this book. Instead of presenting a compilation of theoretical calculations of nuclear moments, they have endeavoured to show to what extent nuclear moments can be used as a stringent test of current nuclear models and of their predictive power.