Prime numbers and computer methods for factorization
Published in the mid 1980s, the highly successful first edition of this title investigated the mathematical underpinnings of computer encryption, a discipline drawing heavily on the factorization of large numbers into primes. The book served a broad audience of researchers, students, practitioners o...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edisyon: | 2nd ed. 2012. |
| Seri Bilgileri: | Modern Birkhäuser Classics
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| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Prime numbers and computer methods for factorization, Hans Riesel, Second edition (reprint of the 1994), 2012, Boston, Birkhäuser, Springer, 1 vol. (XVIII-464 p.), Modern Birkhäuser Classics, 978-0-8176-8297-2 • Prime Numbers and Computer Methods for Factorization, Texte imprimé, 9780817682996 |
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| 100 | 1 | |a Riesel, Hans, |d 1929-2014. | |
| 245 | 1 | 0 | |a Prime numbers and computer methods for factorization |c by Hans Riesel. |
| 250 | |a 2nd ed. 2012. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Modern Birkhäuser Classics |x 2197-1811 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface The Number of Primes Below a Given Limit The Primes Viewed at Large Subtleties in the Distribution of Primes The Recognition of Primes Classical Methods of Factorization Modern Factorization Methods Prime Numbers and Cryptography Appendix 1. Basic Concepts in Higher Algebra Appendix 2. Basic concepts in Higher Arithmetic Appendix 3. Quadratic Residues Appendix 4. The Arithmetic of Quadratic Fields Appendix 5. Higher Algebraic Number Fields Appendix 6. Algebraic Factors Appendix 7. Elliptic Curves Appendix 8. Continued Fractions Appendix 9. Multiple-Precision Arithmetic Appendix 10. Fast Multiplication of Large Integers Appendix 11. The Stieltjes Integral Tables List of Textbooks Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Published in the mid 1980s, the highly successful first edition of this title investigated the mathematical underpinnings of computer encryption, a discipline drawing heavily on the factorization of large numbers into primes. The book served a broad audience of researchers, students, practitioners of cryptography, and non-scientific readers with a mathematical inclination, treating 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 second edition of the work, released in the mid 1990s, expanded significantly upon the original book, including important advances in computational prime number theory and factorization, as well as revised and updated tables. With explicit algorithms and computer programs, the author illustrated applications while attempting to discuss many classically important results along with more modern discoveries. Although it has been over a decade since the publication of this second edition, the theory it contained remains still highly relevant, and the particular cryptosystem it addressed (RSA public-key) is ubiquitous. Therefore, in addition to providing a historical perspective on many of the issues in modern prime number theory and data encryption, this soft cover version which reproduces the second edition exactly as it originally appeared offers affordable access to a great deal of valuable information. Highly readable for a wide variety of mathematicians, students of applied number theory, and others, this modern classic will be of interest to anyone involved in the study of 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 | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Chiffrement (informatique) | ||
| 776 | 0 | |0 166759163 |t Prime numbers and computer methods for factorization |f Hans Riesel |e Second edition (reprint of the 1994) |d 2012 |c Boston |n Birkhäuser |n Springer |p 1 vol. (XVIII-464 p.) |s Modern Birkhäuser Classics |z 978-0-8176-8297-2 | |
| 776 | 0 | |t Prime Numbers and Computer Methods for Factorization |b Texte imprimé |z 9780817682996 | |
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