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Modern Birkhäuser Classics

Prime Numbers and Computer Methods for Factorization

Authors: Riesel, Hans

  • Affordable reprint of the successful, expanded second edition of a unique monograph
  • Provides a unique perspective on the study of prime numbers and their importance in modern technology
  • Applications remain relevant across the fields of modern computer science and information transmission
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eBook 56,99 €
price for Spain (gross)
  • ISBN 978-0-8176-8298-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 69,67 €
price for Spain (gross)
  • ISBN 978-0-8176-8297-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

From the original hard cover edition:

In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers into their primes. Thus an ancient number-theory concept now plays a crucial role in communication among millions of people who may have little or no knowledge of even elementary mathematics. 

Hans Riesel’s highly successful first edition of this book has now been enlarged and updated with the goal of satisfying the needs of researchers, students, practitioners of cryptography, and non-scientific readers with a mathematical inclination. It includes important advances in computational prime number theory and in factorization as well as re-computed and enlarged tables, accompanied by new tables reflecting current research by both the author and his coworkers and by independent researchers.  

The book treats four fundamental problems: the number of primes below a given limit, the approximate number of primes, the recognition of primes and the factorization of large numbers. The author provides explicit algorithms and computer programs, and has attempted to discuss as many of the classically important results as possible, as well as the most recent discoveries. The programs include are written in PASCAL to allow readers to translate the programs into the language of their own computers.  

The independent structure of each chapter of the book makes it highly readable for a wide variety of mathematicians, students of applied number theory, and others interested in both study and research in number theory and cryptography. ​

Reviews

Here is an outstanding technical monograph on recursive number theory and its numerous automated techniques. It successfully passes a critical milestone not allowed to many books, viz., a second edition... All in all, this handy volume continues to be an attractive combination of number-theoretic precision, practicality, and theory with a rich blend of computer science.  Zentralblatt MATH

The book...is an enthusiastic introduction to some of the ideas concerned with primes and factorization. It should be of interest to anyone who would like to learn about the use of computers in number theory. —Mathematical Reviews


Table of contents (7 chapters)

Buy this book

eBook 56,99 €
price for Spain (gross)
  • ISBN 978-0-8176-8298-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 69,67 €
price for Spain (gross)
  • ISBN 978-0-8176-8297-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Prime Numbers and Computer Methods for Factorization
Authors
Series Title
Modern Birkhäuser Classics
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8298-9
DOI
10.1007/978-0-8176-8298-9
Softcover ISBN
978-0-8176-8297-2
Series ISSN
2197-1803
Edition Number
2
Number of Pages
XVIII, 464
Number of Illustrations and Tables
20 b/w illustrations
Topics