The Algorithmic Resolution of Diophantine Equations

Nigel P. Smart

ISBN 10: 0521646332 / ISBN 13: 9780521646338

Edité par Cambridge University Press, 2014

The Algorithmic Resolution of Diophantine Equations | Nigel P. Smart | Taschenbuch | Kartoniert / Broschiert | Englisch | 2014 | Cambridge University Press | EAN 9780521646338 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 106946881

Synopsis :

A coherent account of the computational methods used to solve diophantine equations.

Présentation de l'éditeur: 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.

Détails bibliographiques

Titre : The Algorithmic Resolution of Diophantine ...
Éditeur : Cambridge University Press
Date d'édition : 2014
Reliure : Taschenbuch
Etat : Neu