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Perfect, Amicable, and Sociable Numbers
Song Y. Yan
其他書名
A Computational Approach
出版World Scientific, 1996
主題Mathematics / Number TheoryMathematics / Discrete Mathematics
ISBN98102284739789810228477
URLhttp://books.google.com.hk/books?id=EwgYvHoG9uoC&hl=&source=gbs_api
EBookSAMPLE
註釋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.