The algorithmic resolution of diophantine equations:
Beginning with a brief introduction to algorithms and diophantine equations, this volume aims to provide a coherent account of the methods used to find all the solutions to certain diophantine equations, particularly those procedures which have been developed for use on a computer. The study is divi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1998
|
| Series: | London Mathematical Society student texts
41 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | Beginning with a brief introduction to algorithms and diophantine equations, this volume aims to provide a coherent account of the methods used to find all the solutions to certain diophantine equations, particularly those procedures which have been developed for use on a computer. The study is divided into three parts, the emphasis throughout being on examining approaches with a wide range of applications. The first section considers basic techniques including local methods, sieving, descent arguments and the LLL algorithm. The second section explores problems which can be solved using Baker's theory of linear forms in logarithms. The final section looks at problems associated with curves, mainly focusing on rational and integral points on elliptic curves. Each chapter concludes with a useful set of exercises. A detailed bibliography is included. This book will appeal to graduate students and research workers, with a basic knowledge of number theory, who are interested in solving diophantine equations using computational methods |
| Physical Description: | 1 Online-Ressource (xvi, 243 Seiten) |
| ISBN: | 9781107359994 |
| DOI: | 10.1017/CBO9781107359994 |
Staff View
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| isbn | 9781107359994 |
| language | English |
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| spelling | Smart, Nigel P. 1967- Verfasser (DE-588)173244815 aut The algorithmic resolution of diophantine equations N.P. Smart Cambridge Cambridge University Press 1998 1 Online-Ressource (xvi, 243 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 41 Beginning with a brief introduction to algorithms and diophantine equations, this volume aims to provide a coherent account of the methods used to find all the solutions to certain diophantine equations, particularly those procedures which have been developed for use on a computer. The study is divided into three parts, the emphasis throughout being on examining approaches with a wide range of applications. The first section considers basic techniques including local methods, sieving, descent arguments and the LLL algorithm. The second section explores problems which can be solved using Baker's theory of linear forms in logarithms. The final section looks at problems associated with curves, mainly focusing on rational and integral points on elliptic curves. Each chapter concludes with a useful set of exercises. A detailed bibliography is included. This book will appeal to graduate students and research workers, with a basic knowledge of number theory, who are interested in solving diophantine equations using computational methods Diophantine equations Algorithmus (DE-588)4001183-5 gnd rswk-swf Diophantische Gleichung (DE-588)4012386-8 gnd rswk-swf Diophantische Gleichung (DE-588)4012386-8 s Algorithmus (DE-588)4001183-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-64156-2 Erscheint auch als Druck-Ausgabe 978-0-521-64633-8 https://doi.org/10.1017/CBO9781107359994 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Smart, Nigel P. 1967- The algorithmic resolution of diophantine equations Diophantine equations Algorithmus (DE-588)4001183-5 gnd Diophantische Gleichung (DE-588)4012386-8 gnd |
| subject_GND | (DE-588)4001183-5 (DE-588)4012386-8 |
| title | The algorithmic resolution of diophantine equations |
| title_auth | The algorithmic resolution of diophantine equations |
| title_exact_search | The algorithmic resolution of diophantine equations |
| title_full | The algorithmic resolution of diophantine equations N.P. Smart |
| title_fullStr | The algorithmic resolution of diophantine equations N.P. Smart |
| title_full_unstemmed | The algorithmic resolution of diophantine equations N.P. Smart |
| title_short | The algorithmic resolution of diophantine equations |
| title_sort | the algorithmic resolution of diophantine equations |
| topic | Diophantine equations Algorithmus (DE-588)4001183-5 gnd Diophantische Gleichung (DE-588)4012386-8 gnd |
| topic_facet | Diophantine equations Algorithmus Diophantische Gleichung |
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