The Algorithmic Resolution of Diophantine Equations (häftad)
Fler böcker inom
Häftad (Paperback)
Antal sidor
Cambridge University Press
bibliog., index
Antal komponenter
xvi, 243 p. :
The Algorithmic Resolution of Diophantine Equations (häftad)

The Algorithmic Resolution of Diophantine Equations

A Computational Cookbook

Häftad Engelska, 1998-11-01
Skickas inom 7-10 vardagar.
Fri frakt inom Sverige för privatpersoner.
Finns även som
Visa alla 2 format & utgåvor
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.
Visa hela texten

Passar bra ihop

  1. The Algorithmic Resolution of Diophantine Equations
  2. +
  3. Drainage Design

De som köpt den här boken har ofta också köpt Drainage Design av P Smart, J G Herbertson (häftad).

Köp båda 2 för 1918 kr


Har du läst boken? Sätt ditt betyg »

Recensioner i media

'... 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

Bloggat om The Algorithmic Resolution of Diophantine...


Preface; 1. Introduction; Part I. Basic Solution Techniques: 2. Local methods; 3. Applications of local methods to diophantine equations; 4. Ternary quadratic forms; 5. Computational diophantine approximation; 6. Applications of the LLL-algorithm; Part II. Methods Using Linear Forms in Logarithms: 7. Thue equations; 8. ThueMahler equations; 9. S-Unit equations; 10. Triangularly connected decomposable form equations; 11. Discriminant form equations; Part III. Integral and Rational Points on Curves: 12. Rational points on elliptic curves; 13. Integral points on elliptic curves; 14. Curves of genus greater than one; Appendices; References; Index.