Catalans Conjecture: Are 8 and 9 the Only Consecutive Powers?

By Paulo Ribenboim

The Little Book of Bigger Primes

By Paulo Ribenboim

"A deep understanding of prime numbers is one of the great challenges in mathematics. In this book, fundamental theorems, challenging open problems, and the most recent computational records are pr...

13 Lectures on Fermat's Last Theorem

By Paulo Ribenboim

The New Book of Prime Number Records

By Paulo Ribenboim

The Guinness Book made records immensely popular. This book is devoted, at first glance, to present records concerning prime numbers. But it is much more. It explores the interface between computat...

Classical Theory of Algebraic Numbers

By Paulo Ribenboim

The Book of Prime Number Records

By Paulo Ribenboim

The Little Book of Big Primes

By Paulo Ribenboim

Fermat's Last Theorem for Amateurs

By Paulo Ribenboim

This book is intended for amateurs, students, and teachers. The author presents partial results, which could be obtained with exclusively elementary methods. The proofs are given in detail, with mi...

The Theory of Classical Valuations

By Paulo Ribenboim

In the second half of the last century, Kummer introduced "local" methods in his study of Fermat's last theorem. Hensel constructed the p-adic numbers and proved the so-called "Hensel lemma." Kursc...

Rings and Modules.

By Paulo. Ribenboim

vii, 162 p. 23 cm