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Diophantine equations /
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1969.
|
| Colección: | Pure and applied mathematics (Academic Press) ;
30. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Diophantine Equations; Copyright Page; Contents; Preface; Chapter 1. Introduction; Chapter 2. Equations Proved Impossible by Congruence Considerations; Chapter 3. Equations Involving Sums of Squares; Chapter 4. Quartic Equations with only Trivial Solutions; Chapter 5. Some Linear Equations; Chapter 6. Properties of Congruences; Chapter 7. Homogeneous Equations of the Second Degree; Chapter 8. Pell's Equation; Chapter 9. Rational Solutions Derived from Given Ones; Chapter 10. Rational Points on Some Cubic Curves; Chapter 11. Rational Points on Cubic Surfaces
- Chapter 12. Rational and Integer Points on Quartic SurfacesChapter 13. Integer Solutions of Some Cubic Equations in Three Variables; Chapter 14. Simple Algebraic Considerations; Chapter 15. Applications of Algebraic Number Theory; Chapter 16. Finite Basis Theorem for the Rational Points on a Cubic Curve f(x, y, z) = 0 of Genus one; Chapter 17. Rational Points on Curves of Genus g = 0 or 1 and g> 1; Chapter 18. Representation of Numbers by Homogeneous Forms in Two Variables; Chapter 19. Representation of Numbers by Special Binary Quadratic and Quaternary Quadratic Forms
- Chapter 20. Representation of Numbers by Homogeneous Forms in Several VariablesChapter 21. Representation of Numbers by Polynomials; Chapter 22. Thue's Theorem on the Integer Solutions of f(x, y) = m; Chapter 23. Local Methods or p-Adic Applications; Chapter 24. Binary Cubic Forms; Chapter 25. Binary Quartic Forms; Chapter 26. The Equation y2 = x3 + k; Chapter 27. The equation y2 = ax3 + bx2 + cx + d; Chapter 28. Some Equations of Degree> 3; Chapter 29. Fermat's Last Theorem; Chapter 30. Miscellaneous Results; Bibliography; List of Equations and Congruences; Pure and Applied Mathematics