A course in computational algebraic number theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1993
|
| Schriftenreihe: | Graduate Texts in Mathematics
138 |
| Schlagworte: | |
| Online-Zugang: | UPA01 Volltext |
| Beschreibung: | With the advent of powerful computing tools and numerous advances in mathematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful algorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the LLL algorithm which has a wide range of applications, including real world applications to integer programming, primality testing and factoring algorithms, sub-exponential class group and regulator algorithms, etc ... Several books exist which treat parts of this subject. (It is essentially impossible for an author to keep up with the rapid pace of progress in all areas of this subject.) Each book emphasizes a different area, corresponding to the author's tastes and interests. The most famous, but unfortunately the oldest, is Knuth's Art of Computer Programming, especially Chapter 4. The present book has two goals. First, to give a reasonably comprehensive introductory course in computational number theory. In particular, although we study some subjects in great detail, others are only mentioned, but with suitable pointers to the literature. Hence, we hope that this book can serve as a first course on the subject. A natural sequel would be to study more specialized subjects in the existing literature |
| Beschreibung: | 1 Online-Ressource (XXI, 534 Seiten) |
| ISBN: | 9783662029459 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-3-662-02945-9 |
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| discipline | Mathematik Wirtschaftswissenschaften |
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| isbn | 9783662029459 |
| issn | 0072-5285 |
| language | English |
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| spelling | Cohen, Henri 1947- Verfasser (DE-588)1018621717 aut A course in computational algebraic number theory by Henri Cohen Berlin, Heidelberg Springer Berlin Heidelberg 1993 1 Online-Ressource (XXI, 534 Seiten) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 138 0072-5285 With the advent of powerful computing tools and numerous advances in mathematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful algorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the LLL algorithm which has a wide range of applications, including real world applications to integer programming, primality testing and factoring algorithms, sub-exponential class group and regulator algorithms, etc ... Several books exist which treat parts of this subject. (It is essentially impossible for an author to keep up with the rapid pace of progress in all areas of this subject.) Each book emphasizes a different area, corresponding to the author's tastes and interests. The most famous, but unfortunately the oldest, is Knuth's Art of Computer Programming, especially Chapter 4. The present book has two goals. First, to give a reasonably comprehensive introductory course in computational number theory. In particular, although we study some subjects in great detail, others are only mentioned, but with suitable pointers to the literature. Hence, we hope that this book can serve as a first course on the subject. A natural sequel would be to study more specialized subjects in the existing literature Mathematics Computer software Algebra / Data processing Algorithms Number theory Number Theory Algorithm Analysis and Problem Complexity Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Datenverarbeitung (DE-588)4011152-0 gnd rswk-swf Algorithmische Zahlentheorie (DE-588)4314054-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Algorithmische Zahlentheorie (DE-588)4314054-3 s 2\p DE-604 Datenverarbeitung (DE-588)4011152-0 s 3\p DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-3-540-55640-4 Erscheint auch als Druck-Ausgabe, Paperback 978-3-642-08142-2 Graduate Texts in Mathematics 138 (DE-604)BV035421258 138 https://doi.org/10.1007/978-3-662-02945-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cohen, Henri 1947- A course in computational algebraic number theory Graduate Texts in Mathematics Mathematics Computer software Algebra / Data processing Algorithms Number theory Number Theory Algorithm Analysis and Problem Complexity Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd Datenverarbeitung (DE-588)4011152-0 gnd Algorithmische Zahlentheorie (DE-588)4314054-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4001170-7 (DE-588)4011152-0 (DE-588)4314054-3 (DE-588)4128130-5 |
| title | A course in computational algebraic number theory |
| title_auth | A course in computational algebraic number theory |
| title_exact_search | A course in computational algebraic number theory |
| title_full | A course in computational algebraic number theory by Henri Cohen |
| title_fullStr | A course in computational algebraic number theory by Henri Cohen |
| title_full_unstemmed | A course in computational algebraic number theory by Henri Cohen |
| title_short | A course in computational algebraic number theory |
| title_sort | a course in computational algebraic number theory |
| topic | Mathematics Computer software Algebra / Data processing Algorithms Number theory Number Theory Algorithm Analysis and Problem Complexity Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Algebraische Zahlentheorie (DE-588)4001170-7 gnd Datenverarbeitung (DE-588)4011152-0 gnd Algorithmische Zahlentheorie (DE-588)4314054-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Mathematics Computer software Algebra / Data processing Algorithms Number theory Number Theory Algorithm Analysis and Problem Complexity Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Algebraische Zahlentheorie Algorithmische Zahlentheorie Numerisches Verfahren |
| url | https://doi.org/10.1007/978-3-662-02945-9 |
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