Hilbert's Tenth Problem: Diophantine Classes and Extensions to Global Fields

by Alexandra Shlapentokh

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...

• Format: Hardcover
• Language: English
• ISBN: 0521833604
• ISBN13: 9780521833608
• Release Date: November 2006
• Publisher: Cambridge University Press
• Length: 330 Pages
• Weight: 1.27 lbs.
• Dimensions: 0.9" x 6.3" x 9.0"