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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Algorithmic Resolution of Diophantine Equations

The Algorithmic Resolution of Diophantine Equations

Smart, Nigel P.

Paperback

Series: London Mathematical Society Student Texts, Book 41

General Mathematics

ISBN10: 0521646332
ISBN13: 9780521646338
Publisher: Cambridge University Press
Published: Nov 12 1998
Pages: 260
Weight: 0.80
Height: 0.60 Width: 6.00 Depth: 8.90
Language: English
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.

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