A coherent account of the computational methods used to solve diophantine equations.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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.
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