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The algorithmic resolution of diophantine equations

Author: Nigel P Smart
Publisher: New York : Cambridge University Press, 1998.
Series: London Mathematical Society student texts, 41.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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A coherent account of the computational methods used to solve diophantine equations.

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Smart, Nigel P. (Nigel Paul), 1967-
Algorithmic resolution of diophantine equations.
New York : Cambridge University Press, 1998
(DLC) 98024736
(OCoLC)39157683
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Nigel P Smart
ISBN: 9781107089150 1107089158 9781107359994 1107359996
OCLC Number: 843943548
Description: 1 online resource (xvi, 243 pages) : illustrations.
Contents: 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.
Series Title: London Mathematical Society student texts, 41.
Responsibility: Nigel P. Smart.
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'... should certainly establish itself as a key reference for established researchers and a natural starting point for new PhD students in the area.' E. V. Flynn, Bulletin of the London Mathematical Read more...

 
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