Hilbert's Tenth Problem
Language: English
Published by Cambridge University Press, 2006
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 191.02
Quantity: 1 available
Add to basketItem description from seller
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.…
Seller Inventory # 9780521833608
- Title
- Hilbert's Tenth Problem
- Author
- Alexandra Shlapentokh
- Publisher
- Cambridge University Press
- Publication year
- 2006
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 0521833604
- ISBN 13
- 9780521833608
- Item weight
- 638 grams
- Dimensions
- 235x157x23 mm
- Series
- Book 4 of 31: New Mathematical Monographs
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About the Author
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