Hilbert's Tenth Problem - Diophantine Classes and Extensions to Global Fields (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	New Mathematical Monographs
Release date:	November 2006
First published:	2007
Authors:	Alexandra Shlapentokh
Dimensions:	233 x 158 x 23mm (L x W x T)
Format:	Hardcover
Pages:	330
ISBN-13:	978-0-521-83360-8
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General Promotions
LSN:	0-521-83360-4
Barcode:	9780521833608

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!