Perfect, Amicable, and Sociable Numbers

Download or read book Perfect, Amicable, and Sociable Numbers written by Song Y. Yan and published by World Scientific. This book was released on 1996 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about perfect, amicable and sociable numbers, with an emphasis on amicable numbers, from both a mathematical and particularly a computational point of view. Perfect and amicable numbers have been studied since antiquity, nevertheless, many problems still remain. The book introduces the basic concepts and results of perfect, amicable and sociable numbers and reviews the long 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.