The algorithmic resolution of diophantine equations Nigel P. Smart. London Mathematical Society student texts 41.

Smart, Nigel Paul:

ISBN 10: 052164156X / ISBN 13: 9780521641562

Published by Cambridge, Cambridge University Press, 1998

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 11 SMA 9780521641562 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2499111

Bibliographic Details

• Title: The algorithmic resolution of diophantine equations Nigel P. Smart. London Mathematical Society student texts 41.
• Publisher: Cambridge, Cambridge University Press
• Publication Date: 1998
• Language: English
• ISBN 10: 052164156X
• ISBN 13: 9780521641562
• Binding: Hardcover
• Seller catalogs:
  • SA MATHEMATIK

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.