Prime Numbers and Computer Methods for Factorization

• Κύριος συγγραφέας: Riesel, Hans (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012.
• Σειρά: Modern Birkhäuser Classics
• Θέματα: Mathematics.; Data encryption (Computer science).; Applied mathematics.; Engineering mathematics.; Algorithms.; Number theory.; Number Theory.; Data Encryption.; Applications of Mathematics.; Mathematics, general.

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...

Πίνακας περιεχομένων:

• 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.