Algorithmic Resolution of Diophantine Equations by Nigel P. Smart
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Algorithmic Resolution of Diophantine Equations
By Nigel P. Smart

The Algorithmic Resolution of Diophantine Equations

A Computational Cookbook

By (author) See other recent books by Nigel P. Smart
Series edited by J. Bruce See other recent books by J. Bruce
Format: Hardback

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Algorithmic Resolution of Diophantine Equations by Nigel P. Smart

Book Description

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.

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Book Details

ISBN: 9780521641562
ISBN-10: 052164156X
Format: Hardback
(228mm x 152mm x 19mm)
Pages: 260
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 12-Nov-1998
Country of Publication: United Kingdom

Other Editions...


Books By Author Nigel P. Smart

Advances in Elliptic Curve Cryptography by Nigel P. Smart Advances in Elliptic Curve Cryptography, Paperback (April 2005)

This second volume addresses tremendous progress in elliptic curve cryptography since the first volume.

Algorithmic Resolution of Diophantine Equations by Nigel P. Smart Algorithmic Resolution of Diophantine Equations, Paperback (November 1998)

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

» View all books by Nigel P. Smart

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