Author: Song Y. Yan
Publisher: World Scientific
Release Date: 1996
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.
Author: Song Y. Yan
Publisher: Springer Science & Business Media
Release Date: 2013-11-11
This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.
Author: Lines M E
Publisher: CRC Press
Release Date: 1986-01-01
Why do we count the way we do? What is a prime number or a friendly, perfect, or weird one? How many are there and who has found the largest yet known? What is the Baffling Law of Benford and can you really believe it? Do most numbers you meet in every day life really begin with a 1, 2, or 3? What is so special about 6174? Can cubes, as well as squares, be magic? What secrets lie hidden in decimals? How do we count the infinite, and is one infinity really larger than another? These and many other fascinating questions about the familiar 1, 2, and 3 are collected in this adventure into the world of numbers. Both entertaining and informative, A Number for Your Thoughts: Facts and Speculations about Numbers from Euclid to the Latest Computers contains a collection of the most interesting facts and speculations about numbers from the time of Euclid to the most recent computer research. Requiring little or no prior knowledge of mathematics, the book takes the reader from the origins of counting to number problems that have baffled the world's greatest experts for centuries, and from the simplest notions of elementary number properties all the way to counting the infinite.
Chapters: Perfect Number, Amicable Number, Table of Divisors, Hyperperfect Number, Harmonic Divisor Number, Friendly Number, Aliquot Sequence, Abundant Number, Superabundant Number, Highly Abundant Number, Weird Number, Sociable Number, Superperfect Number, Deficient Number, Untouchable Number, Colossally Abundant Number, Almost Perfect Number, Quasiperfect Number, Sublime Number. Source: Wikipedia. Pages: 95. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: The tables below list all of the divisors of the numbers 1 to 1000. A divisor of an integer n is an integer m, say, for which n/m is again an integer (which is necessarily also a divisor of n). For example, 3 is a divisor of 21, since 21/3 = 7 (and 7 is also a divisor of 21). If m is a divisor of n then so is m. The tables below only list positive divisors. ...More: http: //booksllc.net/?id=22243
Author: Tony Crilly
Publisher: Hachette UK
Release Date: 2008-03-03
Just the mention of mathematics is enough to strike fear into the hearts of many, yet without it, the human race couldn't be where it is today. By exploring the subject through its 50 key insights - from the simple (the number one) and the subtle (the invention of zero) to the sophisticated (proving Fermat's last theorem) - this book shows how mathematics has changed the way we look at the world around us.
Author: David Wells
Publisher: Penguin UK
Release Date: 1997-09-04
Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.
Author: Diane Thiessen
Publisher: National Council of Teachers of
Release Date: 1998
Children's literature in mathematics has been a valuable tool for developing positive attitudes toward mathematics as well as for exploring mathematics. This book provides annotated bibliographies of children's literature books emphasizing mathematics education. Each review describes the book's content and accuracy, its illustrations and their appropriateness, the author's writing style, and indicates whether activities for the reader are included. Chapters in this book include: (1) "Early Number Concepts"; (2) "Number-Extensions and Connections"; (3) "Measurement"; (4) "Geometry and Spatial Sense"; and (5) "Series and Other Resources". (ASK)