Isbn: 9780521833608 - hilbert's tenth problem: diophantine classes and extensions to global fields (new mathematical monographs) (new mathematical monographs, 7, band 7) (6 Ergebnisse)

hardcover. Zustand: Used-Very Good. 1st Edition. Cloth, dj. Some shelf-wear.

Hardcover. Zustand: Like New. Like New. First Edition. A firm and square hardback with sharp corners and strong joints, complete with original dustjacket, just showing a few very minor rubs. Hence a non-text page has a small 'damaged' stamp. Despite such this book is actually in nearly new condition and appears unread. Thus the contents are crisp, fresh and tight. Also, no pen-marks and not from a library so no such stamps or labels. Now offered for sale at a very sensible price.…

Zustand: New. In English.

Zustand: New. An account of results extending Hilbert's Tenth Problem to integrally closed subrings of global fields. Series: New Mathematical Monographs. Num Pages: 330 pages, 18 b/w illus. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 23. Weight in Grams: 588. . 2006. Illustrated. hardcover. . . . . Books ship from the US and Ireland. …

Hardcover. Zustand: Brand New. 1st edition. 320 pages. 9.25x6.25x0.75 inches. In Stock.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.…