Paulo Ribenboim treats numbers as personal friends in this collection of expository essays. Topics include prime numbers, Fibonacci numbers (and the Arctic Ocean!), the classical work of Gauss on binary quadratic form, Euler's famous prime producing polynomials, powers, irrational and transcendental numbers. The essays are written in a light language without secrets and are thoroughly accessible to everyone with an interest in numbers. Other books by the author are "The New Book of Prime Number Records" "The Little Book of Big Primes" which have enjoyed a considerable success, and the recent "Fermat's Last Theorem for Amateurs" (1999).
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From the reviews:
MATHEMATICAL REVIEWS
"...the author is extremely knowledgeable in his subjects and the reader can profit from the wealth of material contained in this book. Therefore this book is a welcome reference for anyone interested both in trivia and in serious background material about popular topics in elementary number theory."
The Fibonacci Numbers and the Arctic Ocean.- Representation of Real Numbers by Means of Fibonacci Numbers.- Prime Number Records.- Selling Primes.- Euler’s Famous Prime Generating Polynomial and the Class Number of Imaginary Quadratic Fields.- Gauss and the Class Number Problem.- Consecutive Powers.- 1093.- Powerless Facing Powers.- What Kind of Number Is $$ \sqrt 2 ^{\sqrt 2 } $$ ?.- Galimatias Arithmeticae.
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