Hilbert's Tenth Problem (Hardcover)
Language: English
Published by Cambridge University Press, Cambridge, 2006
- First Edition
- Hardcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
Condition: New
£ 137.49
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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. Hilbert's Tenth Problem - to find an algorithm to determine whether a polynomial equation in several variables with integer coefficients has integer solutions - was shown to be unsolvable in the late sixties. This book presents an account of results extending Hilbert's Tenth Problem to integrally closed subrings of global fields. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…
Seller Inventory # 9780521833608
- Title
- Hilbert's Tenth Problem (Hardcover)
- Author
- Alexandra Shlapentokh
- Publisher
- Cambridge University Press, Cambridge
- Publication year
- 2006
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0521833604
- ISBN 13
- 9780521833608
- Edition
- 1st Edition
- Series
- Book 4 of 31: New Mathematical Monographs
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CitiRetail
Stevenage, United Kingdom
AbeBooks seller since June 29, 2022
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