The Little Book Of Bigger Primes

The Little Book of Bigger Primes

A deep understanding of prime numbers is one of the great challenges in mathematics. In this new edition, 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)

The Little Book of Bigger Primes

The immensely popular Guinness Book of World Records lacked a chapter on prime numbers. The also popular Book of Prime Number Records, however, fills this need. This abridged version, written by the same author, is devoted to presenting records concerning prime numbers, but it also explores the interface between computations and the theory of prime numbers. The book contains an up-to-date historical presentation of the main problems pertaining to prime numbers, as well as many fascinating topics, including primality testing. It is written in a light and humours language without secrets and is thoroughly accessible to everyone. TOC:* Preface * Guiding the Reader * Index of Notations * Introduction * How Many Prime Numbers Are There? * How to Recognize Whether a Natural Number is a Prime * Are There Functions Defining Prime Numbers? * How Are the Prime Numbers Distributed? * Which Special Kinds of Primes Have Been Considered? * Heuristic and Probabilistic Results about Prime Numbers * Conclusion * Bibliography * Primes up to 10,000 * Index of Tables * Index of Records * Index of Names * Gallimawfries * Subject Index

The Little Book Of Bigger Primes, 2E