UID:
almahu_9949697554002882
Format:
1 online resource (327 p.)
ISBN:
1-281-76870-7
,
9786611768706
,
0-08-087342-1
Series Statement:
Pure and applied mathematics; a series of monographs and textbooks ; v. 30
Content:
Diophantine equations
Note:
Description based upon print version of record.
,
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
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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
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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; Bibiography; List of Equations and Congruences; Pure and Applied Mathematics
,
In preparation
,
English
Additional Edition:
ISBN 0-12-506250-8
Language:
English
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