The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook: 41 (London Mathematical Society Student Texts, Series Number 41)

Smart, Nigel P. Nigel P. Smart,

ISBN 10: 052164156X / ISBN 13: 9780521641562

Published by Cambridge University Press, 1999

About this Item

The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook: 41 (London Mathematical Society Student Texts, Series Number 41) This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. .

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Bibliographic Details

• Title: The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook: 41 (London Mathematical Society Student Texts, Series Number 41)
• Publisher: Cambridge University Press
• Publication Date: 1999
• Language: English
• ISBN 10: 052164156X
• ISBN 13: 9780521641562
• Binding: hardcover
• Condition: Very Good

About this title

Synopsis

Beginning with a brief introduction to algorithms and diophantine equations, this volume provides a coherent modern account of the methods used to find all the solutions to certain diophantine equations, particularly those developed for use on a computer. The study is divided into three parts, emphasizing 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 that can be solved using Baker's theory of linear forms in logarithms. The final section looks at problems associated with curves, 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 interested in solving diophantine equations using computational methods.

Book Description

A coherent modern account of the computational methods used to solve diophantine equations. The emphasis is on approaches with wide ranging applications. After a brief introduction, the first section considers basic techniques. 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. Useful exercises and a detailed bibliography are included.Requiring a basic knowledge of number theory, this book will appeal to graduate students and research workers.