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A Course in Computational Algebraic Number Theory /
This book describes 148 algorithms which are fundamental for number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters lead the reader to the heart of current research in computational...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1993.
|
| Colección: | Graduate texts in mathematics ;
138. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Cohen, Henri. | |
| 245 | 1 | 2 | |a A Course in Computational Algebraic Number Theory / |c by Henri Cohen. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg, |c 1993. | ||
| 300 | |a 1 online resource (xxi, 536 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Graduate Texts in Mathematics, |x 0072-5285 ; |v 138 | |
| 520 | |a This book describes 148 algorithms which are fundamental for number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters lead the reader to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations. The last three chapters give a survey of factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The book ends with a description of available computer packages and some useful tables. The book also contains a large number of exercises. Written by an authority in the field, and one with great practical and teaching experience it is sure to become the standard and indispensable reference on the subject. | ||
| 505 | 0 | |a 1. Fundamental Number-Theoretic Algorithms -- 2. Algorithms for Linear Algebra and Lattices -- 3. Algorithms on Polynomials -- 4. Algorithms for Algebraic Number Theory I -- 5. Algorithms for Quadratic Fields -- 6. Algorithms for Algebraic Number Theory II -- 7. Introduction to Elliptic Curves -- 8. Factoring in the Dark Ages -- 9. Modern Primality Tests -- 10. Modern Factoring Methods -- Appendix A. Packages for Number Theory -- Appendix B. Some Useful Tables -- B.1. Table of Class Numbers of Complex Quadratic Fields -- B.2. Table of Class Numbers and Units of Real Quadratic Fields -- B.3. Table of Class Numbers and Units of Complex Cubic Fields -- B.4. Table of Class Numbers and Units of Totally Real Cubic Fields -- B.5. Table of Elliptic Curves. | |
| 546 | |a English. | ||
| 504 | |a Includes bibliographical references (pages 527-539) and index. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Computer software. | |
| 650 | 0 | |a Algebra |x Data processing. | |
| 650 | 0 | |a Algorithms. | |
| 650 | 0 | |a Number theory. | |
| 650 | 2 | |a Mathematics | |
| 650 | 2 | |a Software | |
| 650 | 2 | |a Algorithms | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 6 | |a Logiciels. | |
| 650 | 6 | |a Algèbre |x Informatique. | |
| 650 | 6 | |a Algorithmes. | |
| 650 | 6 | |a Théorie des nombres. | |
| 650 | 7 | |a software. |2 aat | |
| 650 | 7 | |a algorithms. |2 aat | |
| 650 | 7 | |a Algebra |x Data processing |2 fast | |
| 650 | 7 | |a Algorithms |2 fast | |
| 650 | 7 | |a Computer software |2 fast | |
| 650 | 7 | |a Mathematics |2 fast | |
| 650 | 7 | |a Number theory |2 fast | |
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| 776 | 0 | 8 | |i Print version: |z 9783642081422 |
| 830 | 0 | |a Graduate texts in mathematics ; |v 138. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3098147 |z Texto completo |
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