Nigel P. Smart

The Algorithmic Resolution of Diophantine Equations

A Computational Cookbook
Herausgeber: Series, C. M.; Bruce, J. W.

• Gebundenes Buch

Produktbeschreibung

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

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 260
• Erscheinungstermin: 29. Juni 2007
• Englisch
• Abmessung: 235mm x 157mm x 20mm
• Gewicht: 577g
• ISBN-13: 9780521641562
• ISBN-10: 052164156X
• Artikelnr.: 23027559

Inhaltsangabe

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. Thue-Mahler 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.