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Diophantine equations

Author: L J Mordell
Publisher: London, New York, Academic P., 1969.
Series: Pure and applied mathematics (Academic Press), 30.
Edition/Format:   Print book : EnglishView all editions and formats
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: L J Mordell
ISBN: 0125062508 9780125062503
OCLC Number: 21253
Description: x, 312 pages 24 cm.
Contents: Introduction --
Equations Proved Impossible by Congruence Considerations --
Equations Involving Sums of Squares --
Quartic Equations with only Trivial Solutions --
Some Linear Equations --
Properties of Congruences --
Homogeneous Equations of the Second Degree --
Pell's Equation --
Rational Solutions Derived from Given Ones --
Rational Points on Some Cubic Curves --
Rational Points on Cubic Surfaces --
Rational and integer points on quartic surfaces --
Integar solutions of some cubic equations in three variables --
Simple algebraic considerations --
Applications of algebraic number theory --
Finite basis theorem for the rational points on a cubic curve f(x, y, z) = 0 of genus one --
Rational points on curves of genus g = 0 or 1 and g> 1 --
Representation of numbers by homogeneous forms in two variables --
Representation of numbers by special binary quadratic and quaternary quadratic forms --
Representation of numbers by homogeneous forms in several variables --
Representation of numbers by polynomials --
Thue's theorem on the integar solutions of f(x, y) = m --
Local methods of p-adic applications --
Binary cubic forms --
Binary quartic forms --
The equation y2 = x3 + k --
The equation y2 = ax3 + bx2 + cx +d --
Some equations of degree> 3 --
Fermat's last theorem --
Miscellaneous results.
Series Title: Pure and applied mathematics (Academic Press), 30.
Responsibility: [by] L.J. Mordell.

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