This is a selection of expository essays by Paulo Ribenboim, the author of such popular titles as "The New Book of Prime Number Records" and "The Little Book of Big Primes". The book contains essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as for instance Kummer's work on Fermat's Last Theorem. The essays are written in a light and humorous language without secrets and are thoroughly accessible to everyone with an interest in numbers.
Dear Friends of Numbers: This little book is for you. It should o?er an exquisite int- lectual enjoyment, which only relatively few fortunate people can experience. May these essays stimulate your curiosity and lead you to books and articles where these matters are discussed at a more technical level. I warn you, however, that the problems treated, in spite of - ing easy to state, are for the most part very di?cult. Many are still unsolved. You will see how mathematicians have attacked these problems. Brains at work! But do not blame me for sleepless nights (I have mine already). Several of the essays grew out of lectures given over the course of years on my customary errances. Other chapters could, but probably never will, become full-sized books. The diversity of topics shows the many guises numbers take to ? tantalize and to demand a mobility of spirit from you, my reader, who is already anxious to leave this preface. Now go to page 1 (or 127?). Paulo Ribenboim ? Tantalus, of Greekmythology, was punished by continual disappointment whenhetriedtoeatordrinkwhatwasplacedwithinhisreach. 1 The Fibonacci Numbers and the Arctic Ocean Introduction There is indeed not much relation between the Fibonacci numbers and the Arctic Ocean, but I thought that this title would excite your curiosity for my lecture. You will be disappointed if you wished to hear about the Arctic Ocean, as my topic will be the sequence of Fibonacci numbers and similar sequences.
Dear Friends of Numbers: This little book is for you. It should o?er an exquisite int- lectual enjoyment, which only relatively few fortunate people can experience. May these essays stimulate your curiosity and lead you to books and articles where these matters are discussed at a more technical level. I warn you, however, that the problems treated, in spite of - ing easy to state, are for the most part very di?cult. Many are still unsolved. You will see how mathematicians have attacked these problems. Brains at work! But do not blame me for sleepless nights (I have mine already). Several of the essays grew out of lectures given over the course of years on my customary errances. Other chapters could, but probably never will, become full-sized books. The diversity of topics shows the many guises numbers take to ? tantalize and to demand a mobility of spirit from you, my reader, who is already anxious to leave this preface. Now go to page 1 (or 127?). Paulo Ribenboim ? Tantalus, of Greekmythology, was punished by continual disappointment whenhetriedtoeatordrinkwhatwasplacedwithinhisreach. 1 The Fibonacci Numbers and the Arctic Ocean Introduction There is indeed not much relation between the Fibonacci numbers and the Arctic Ocean, but I thought that this title would excite your curiosity for my lecture. You will be disappointed if you wished to hear about the Arctic Ocean, as my topic will be the sequence of Fibonacci numbers and similar sequences.
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 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."
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."