The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook (Hardcover)

Nigel P. Smart

ISBN 10: 052164156X / ISBN 13: 9780521641562

Editore: Cambridge University Press, Cambridge, 1998

Riguardo questo articolo

Hardcover. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Codice articolo 9780521641562

Dati bibliografici

• Titolo: The Algorithmic Resolution of Diophantine Equations: A Computational Cookbook (Hardcover)
• Editore: Cambridge University Press, Cambridge
• Data di pubblicazione: 1998
• Lingua: Inglese
• ISBN 10: 052164156X
• ISBN 13: 9780521641562
• Rilegatura: Hardcover
• Condizione: new

Descrizione articolo

Riassunto

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

Recensione

'... 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