Perfect, Amicable and Sociable Numbers

This volume is about perfect, amicable and social numbers, with an emphasis on amicable numbers, from both a mathematical and particularly a computational point of view. It introduces the basic concepts and results of perfect, amicable and sociable numbers and reviews the history of the search for these numbers. It examines various methods, both numerical and algebraic, of generating these numbers, and also includes a set of important and interesting open problems in the area. The book is self-contained, and accessible to researchers, students and even amateurs in mathematics and computing science. The only prerequisites are some familiarity with high-school algebra and basic computing techniques