WorldCat Identities

Ribenboim, Paulo

Overview
Works: 119 works in 535 publications in 4 languages and 11,902 library holdings
Genres: Conference proceedings 
Roles: Editor
Classifications: QA246, 512.74
Publication Timeline
Key
Publications about  Paulo Ribenboim Publications about Paulo Ribenboim
Publications by  Paulo Ribenboim Publications by Paulo Ribenboim
Most widely held works by Paulo Ribenboim
The little book of big primes by Paulo Ribenboim ( Book )
32 editions published between 1991 and 2005 in English and held by 1,224 WorldCat member libraries worldwide
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 presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queen's University in Canada, Fellow of the Royal Society of Canada, and recipient of the George Pólya Award of the Mathematical Association of America. He is the author of 13 books and more than 150 research articles. From the reviews of the First Edition: Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material. There is no question that this book will succeed in exciting many new people to the beauty and fascination of prime numbers, and will probably bring more young people to research in these areas. - Andrew Granville, Zentralblatt Ribenboim is a rare creature - an academic who writes in an unstuffy way - and his book gives an overview of what is currently known about primes. - Robert Matthews, The Sunday Telegraph ...This genially reader-friendly tour de force, by a scientist with an encyclopedic and up-to-the-minute knowledge of the subject, is a wholly admirable addition to anyone's bookshelf. - John H. Halton, American Scientist
My numbers, my friends : popular lectures on number theory by Paulo Ribenboim ( Book )
18 editions published between 2000 and 2005 in English and held by 1,116 WorldCat member libraries worldwide
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
Fermat's last theorem for amateurs by Paulo Ribenboim ( Book )
27 editions published between 1899 and 2013 in English and and held by 1,105 WorldCat member libraries worldwide
"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 minimal prerequisites." "The Epilogue is a serious attempt to render accessible the strategy of the recent proof of Fermat's last theorem, a great mathematical feat."--BOOK JACKET
The book of prime number records by Paulo Ribenboim ( Book )
21 editions published between 1988 and 1989 in English and held by 1,008 WorldCat member libraries worldwide
This book aims to be the analogue for prime numbers of the Guinness Book of World Records. It collects a large number of results and techniques related to all aspects of the theory of prime numbers. The book begins with a chapter on the proofs that there are infinitely many primes, and proceeds through such topics as primality tests, factorization methods, the distribution of primes, special types of primes, and heuristic results. The Book of Prime Number Records should have great appeal to anyone with an interest in number theory
13 lectures on Fermat's last theorem by Paulo Ribenboim ( Book )
22 editions published between 1979 and 1996 in English and Undetermined and held by 742 WorldCat member libraries worldwide
Algebraic numbers by Paulo Ribenboim ( Book )
14 editions published in 1972 in English and held by 551 WorldCat member libraries worldwide
Rings and modules by Paulo Ribenboim ( Book )
10 editions published in 1969 in English and Undetermined and held by 536 WorldCat member libraries worldwide
Functions, limits, and continuity by Paulo Ribenboim ( Book )
7 editions published in 1964 in English and Undetermined and held by 410 WorldCat member libraries worldwide
The new book of prime number records by Paulo Ribenboim ( Book )
14 editions published between 1995 and 2012 in English and German and held by 405 WorldCat member libraries worldwide
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 computations and the theory of prime numbers. The book contains an up-to-date historical presentation of the main problems about prime numbers, as well as many fascinating topics, including primality testing. It is written in a language without secrets and is thoroughly accessible to everyone with some mathematical education. This new book has an improved and smoother presentation
Catalan's conjecture : are 8 and 9 the only consecutive powers? by Paulo Ribenboim ( Book )
10 editions published in 1994 in English and held by 398 WorldCat member libraries worldwide
Classical theory of algebraic numbers by Paulo Ribenboim ( Book )
13 editions published between 2000 and 2010 in English and held by 318 WorldCat member libraries worldwide
The theory of classical valuations by Paulo Ribenboim ( Book )
13 editions published between 1998 and 2012 in English and held by 286 WorldCat member libraries worldwide
In his studies of cyclotomic fields, in view of establishing his monumental theorem about Fermat's last theorem, Kummer introduced "local" methods. They are concerned with divisibility of "ideal numbers" of cyclotomic fields by lambda = 1 - psi where psi is a primitive p-th root of 1 (p any odd prime). Henssel developed Kummer's ideas, constructed the field of p-adic numbers and proved the fundamental theorem known today. Kurschak formally introduced the concept of a valuation of a field, as being real valued functions on the set of non-zero elements of the field satisfying certain properties, like the p-adic valuations. Ostrowski, Hasse, Schmidt and others developed this theory and collectively, these topics form the primary focus of this book
Théorie des valuations by Paulo Ribenboim ( Book )
21 editions published between 1964 and 1972 in French and held by 262 WorldCat member libraries worldwide
Die Welt der Primzahlen : Geheimnisse und Rekorde by Paulo Ribenboim ( )
13 editions published between 2006 and 2011 in German and held by 247 WorldCat member libraries worldwide
L'arithmétique des corps by Paulo Ribenboim ( Book )
10 editions published in 1972 in French and held by 225 WorldCat member libraries worldwide
Linear representation of finite groups by Paulo Ribenboim ( Book )
6 editions published in 1966 in English and held by 220 WorldCat member libraries worldwide
The Riemann-Roch theorem for algebraic curves by Paulo Ribenboim ( Book )
6 editions published in 1965 in English and held by 220 WorldCat member libraries worldwide
La conjecture d'Artin aur les équations diophantiennes by Paulo Ribenboim ( Book )
11 editions published in 1968 in French and English and held by 199 WorldCat member libraries worldwide
Proceedings of the Queen's Number Theory Conference, 1979 by Queen's Number Theory Conference ( Book )
4 editions published in 1980 in English and held by 163 WorldCat member libraries worldwide
Collected papers of Karl Egil Aubert by Karl Egil Aubert ( Book )
8 editions published between 1990 and 1992 in English and held by 137 WorldCat member libraries worldwide
 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.64 (from 0.47 for Die Welt d ... to 0.95 for Proceeding ...)
Alternative Names
Ribenboim, P.
Ribenboim, P. 1928-
Ribenboim, P. (Paulo)
Ribenboim, Paulo
Ribenboin, Paulo
Ribenboin Paulo 1928-....
リーベンボイム, パウロ
Languages
English (222)
French (40)
German (14)
(1)
Covers