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Englisch
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Beschreibung
This introductory book emphasizes algorithms and applications, and is accessible to a broad audience. The author alternates between theory and applications in order to illustrate the mathematics. This second edition includes many new exercises and worked examples, and has been reorganized to improve presentation and clarity of exposition.
This introductory book emphasizes algorithms and applications, and is accessible to a broad audience. The author alternates between theory and applications in order to illustrate the mathematics. This second edition includes many new exercises and worked examples, and has been reorganized to improve presentation and clarity of exposition.
Über den Autor
Victor Shoup is a Professor in the Department of Computer Science at the Courant Institute of Mathematical Sciences, New York University.
Inhaltsverzeichnis
Preface; Preliminaries; 1. Basic properties of the integers; 2. Congruences; 3. Computing with large integers; 4. Euclid's algorithm; 5. The distribution of primes; 6. Abelian groups; 7. Rings; 8. Finite and discrete probability distributions; 9. Probabilistic algorithms; 10. Probabilistic primality testing; 11. Finding generators and discrete logarithms in Z*p; 12. Quadratic reciprocity and computing modular square roots; 13. Modules and vector spaces; 14. Matrices; 15. Subexponential-time discrete logarithms and factoring; 16. More rings; 17. Polynomial arithmetic and applications; 18. Linearly generated sequences and applications; 19. Finite fields; 20. Algorithms for finite fields; 21. Deterministic primality testing; Appendix: some useful facts; Bibliography; Index of notation; Index.
Details
Erscheinungsjahr: | 2012 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9780521516440 |
ISBN-10: | 0521516447 |
Sprache: | Englisch |
Einband: | Gebunden |
Autor: | Shoup, Victor |
Auflage: | 2. Auflage |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 250 x 175 x 36 mm |
Von/Mit: | Victor Shoup |
Erscheinungsdatum: | 12.03.2012 |
Gewicht: | 1,2 kg |
Über den Autor
Victor Shoup is a Professor in the Department of Computer Science at the Courant Institute of Mathematical Sciences, New York University.
Inhaltsverzeichnis
Preface; Preliminaries; 1. Basic properties of the integers; 2. Congruences; 3. Computing with large integers; 4. Euclid's algorithm; 5. The distribution of primes; 6. Abelian groups; 7. Rings; 8. Finite and discrete probability distributions; 9. Probabilistic algorithms; 10. Probabilistic primality testing; 11. Finding generators and discrete logarithms in Z*p; 12. Quadratic reciprocity and computing modular square roots; 13. Modules and vector spaces; 14. Matrices; 15. Subexponential-time discrete logarithms and factoring; 16. More rings; 17. Polynomial arithmetic and applications; 18. Linearly generated sequences and applications; 19. Finite fields; 20. Algorithms for finite fields; 21. Deterministic primality testing; Appendix: some useful facts; Bibliography; Index of notation; Index.
Details
Erscheinungsjahr: | 2012 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9780521516440 |
ISBN-10: | 0521516447 |
Sprache: | Englisch |
Einband: | Gebunden |
Autor: | Shoup, Victor |
Auflage: | 2. Auflage |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 250 x 175 x 36 mm |
Von/Mit: | Victor Shoup |
Erscheinungsdatum: | 12.03.2012 |
Gewicht: | 1,2 kg |
Sicherheitshinweis