My Numbers, My Friends

Produktbeschreibung

This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem. 

Inhaltsverzeichnis

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. 

Kritik

"The exposition is relaxed, with plenty of numerical examples, conjectures and other asides. Technicalities are largely avoided, so that a beginning graduate student could read and enjoy this without preparation." (D.R.Heath-Brown, zbMATH 0947.11001, 2022)


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." 

Autoreninfo

Paulo Ribenboim ist emeritierter Professor der kanadischen Queen's University, Fellow der Royal Society of Canada und Träger des George P¢lya-Preises der Mathematical Association of America. Er ist Autor von 13 Büchern und über 150 Forschungsartikeln.