Perfect, Amicable, and Sociable Numbers

A Computational Approach

Author: Song Y. Yan

Publisher: World Scientific

ISBN: 9789810228477

Category: Mathematics

Page: 338

View: 7331


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.

A Number for your Thoughts

Facts and Speculations About Numbers from Euclid to the Latest Computers

Author: Lines M E

Publisher: CRC Press

ISBN: 9780852744956

Category: Mathematics

Page: 392

View: 7760


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.

Mystifying Mathematical Puzzles

Golden Spheres, Squared Eggs and Other Brainteasers

Author: Joseph S. Madachy

Publisher: Courier Dover Publications

ISBN: 0486825078

Category: Games & Activities

Page: 256

View: 3548


"Fans will find this volume indispensable; casual readers will find it an attractive nuisance," observed The Scientific American of this challenging compilation of conundrums, diabolic squares, flexagons, geometric dissections, other puzzles.

A Number for Your Thoughts

Facts and Speculations about Numbers from Euclid to the Latest Computers

Author: Stephen P. Richards

Publisher: S. P. Richards


Category: Number theory

Page: 207

View: 8576



Number Theory for Computing

Author: Song Y. Yan

Publisher: Springer Science & Business Media

ISBN: 366204773X

Category: Computers

Page: 435

View: 4104


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.