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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Smart, Nigel P. (Nigel Paul), 1967-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Cambridge University Press, 1998.
Colección:London Mathematical Society student texts ; 41.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (xvi, 243 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 231-239) and index.
ISBN:9781107089150
1107089158
9781107359994
1107359996