Articles liés à Prime Numbers and Computer Methods for Factorization
Synopsis
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.
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Présentation de l'éditeur
Enlarged and updated for its second edition, this highly readable book addresses 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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurBirkhäuser
- Date d'édition2011
- ISBN 10 081768297X
- ISBN 13 9780817682972
- ReliureBroché
- Langueanglais
- Numéro d'édition2
- Nombre de pages484
- Coordonnées du fabricantnon disponible
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Prime Numbers and Computer Methods for Factorization (Modern Birkh�user Classics)
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Birkh�user, 2011
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ISBN 13 : 9780817682972
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Prime Numbers and Computer Methods for Factorization
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ISBN 13 : 9780817682972
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Prime Numbers and Computer Methods for Factorization
Edité par
Birkhäuser Boston Nov 2011, 2011
ISBN 10 : 081768297X
ISBN 13 : 9780817682972
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 484 pp. Englisch. N° de réf. du vendeur 9780817682972
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Prime Numbers and Computer Methods for Factorization (Modern Birkhäuser Classics)
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Prime Numbers and Computer Methods for Factorization
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Prime Numbers and Computer Methods for Factorization
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Birkhäuser Boston, Birkhäuser Boston Nov 2011, 2011
ISBN 10 : 081768297X
ISBN 13 : 9780817682972
Neuf
Taschenbuch
Edition originale
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Taschenbuch. Etat : Neu. Neuware -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. ¿Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 484 pp. Englisch. N° de réf. du vendeur 9780817682972
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Prime Numbers and Computer Methods for Factorization
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Birkhäuser Boston, Birkhäuser Boston, 2011
ISBN 10 : 081768297X
ISBN 13 : 9780817682972
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9780817682972
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Prime Numbers and Computer Methods for Factorization (eng)
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Prime Numbers and Computer Methods for Factorization
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ISBN 10 : 081768297X
ISBN 13 : 9780817682972
Neuf
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Prime Numbers and Computer Methods for Factorization
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