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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Riesel, Hans (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012.
Edición:2nd ed. 2012.
Colección:Modern Birkhäuser Classics,
Temas:
Number theory.
Cryptography.
Data encryption (Computer science).
Algorithms.
Mathematics.
Number Theory.
Cryptology.
Applications of Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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