The New Book of Prime Number Records
豆瓣
Ribenboim, Paula
简介
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 thoroughly accessible to everyone. The new edition has been significantly improved due to a smoother presentation, many new topics and updated records.
contents
Front Matter
Pages i-xxiv
Introduction
Paulo Ribenboim
Pages 1-2
How Many Prime Numbers Are There?
Paulo Ribenboim
Pages 3-18
How to Recognize Whether a Natural Number Is a Prime
Paulo Ribenboim
Pages 19-178
Are There Functions Defining Prime Numbers?
Paulo Ribenboim
Pages 179-212
How Are the Prime Numbers Distributed?
Paulo Ribenboim
Pages 213-322
Which Special Kinds of Primes Have Been Considered?
Paulo Ribenboim
Pages 323-369
Heuristic and Probabilistic Results about Prime Numbers
Paulo Ribenboim
Pages 371-425
Conclusion
Paulo Ribenboim
Pages 427-432
Back Matter
Pages 433-541