The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook - Couverture rigide

Smart, Nigel P.

Couverture rigide

ISBN 10 : 052164156X ISBN 13 : 9780521641562

Editeur : Cambridge University Press, 1998

Synopsis

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.

A propos du livre

Revue de presse

'... should certainly establish itself as a key reference for established researchers and a natural starting point for new PhD students in the area.' E. V. Flynn, Bulletin of the London Mathematical Society

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 1998
• Langue: anglais
• ISBN 10: 052164156X
• ISBN 13: 9780521641562
• Reliure: Relié
• Nombre de pages: 260
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France