| 000 | 02297nam a22003498i 4500 | ||
|---|---|---|---|
| 001 | CR9781107359994 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160221.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 130306s1998||||enk o ||1 0|eng|d | ||
| 020 | _a9781107359994 (ebook) | ||
| 020 | _z9780521641562 (hardback) | ||
| 020 | _z9780521646338 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA242 _b.S69 1998 |
| 082 | 0 | 0 |
_a512/.72 _221 |
| 100 | 1 |
_aSmart, Nigel P. _q(Nigel Paul), _d1967- _eauthor. |
|
| 245 | 1 | 4 |
_aThe algorithmic resolution of diophantine equations / _cN.P. Smart. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c1998. |
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| 300 |
_a1 online resource (xvi, 243 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aLondon Mathematical Society student texts ; _v41 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aBeginning 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. | ||
| 650 | 0 | _aDiophantine equations. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521641562 |
| 830 | 0 |
_aLondon Mathematical Society student texts ; _v41. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781107359994 |
| 999 |
_c516748 _d516746 |
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