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£98.79
Cambridge University Press Hilbert's Tenth Problem: Diophantine Classes and Extensions to Global Fields: 7 (New Mathematical Monographs, Series Number 7)
Price data checked 3 days ago
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Last 80 days • 80 data points
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Price distribution over 80 days • 5 price levels
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Most common price: £94 (33 days, 41.3%)
Price range: £91 - £104
Price levels: 5 different prices over 80 days
Description
In the late sixties Matiyasevich, building on the work of Davis, Putnam and Robinson, showed that there was no algorithm to determine whether a polynomial equation in several variables and with integer coefficients has integer solutions. Hilbert gave finding such an algorithm as problem number ten on a list he presented at an international congress of mathematicians in 1900. Thus the problem, which has become known as Hilbert's Tenth Problem, was shown to be unsolvable. This book presents an account of results extending Hilbert's Tenth Problem to integrally closed subrings of global fields including, in the function field case, the fields themselves. While written from the point of view of Algebraic Number Theory, the book includes chapters on Mazur's conjectures on topology of rational points and Poonen's elliptic curve method for constructing a Diophatine model of rational integers over a 'very large' subring of the field of rational numbers.
Product Specifications
- Format
- hardcover
- ASIN
- 0521833604
- Domain
- Amazon UK
- Release Date
- 09 November 2006
- Listed Since
- 05 February 2007
Barcode
No barcode data available
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