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

Alexandra Shlapentokh (Author)

List Price:	CDN$ 149.95
Price:	CDN$ 127.93 & this item ships for FREE with Super Saver Shipping. Details
You Save:	CDN$ 22.02 (15%)
	o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o

In Stock.
Ships from and sold by Amazon.ca. Gift-wrap available.

Only 1 left in stock--order soon (more on the way).

Want it delivered Tuesday, May 29? Choose One-Day Shipping at checkout.

Product Details

Hardcover: 330 pages
Publisher: Cambridge University Press; 1 edition (Nov 13 2006)
Language: English
ISBN-10: 0521833604
ISBN-13: 978-0521833608
Product Dimensions: 22.8 x 16.1 x 2.3 cm
Shipping Weight: 581 g
Amazon Bestsellers Rank: #1,876,324 in Books (See Top 100 in Books)

Would you like to update product info or give feedback on images?

See Complete Table of Contents

Product Description

Review

"Shlapentokh offers the first synthesis of the new wave of work, including exciting recent results of B.Poonen that come as close as anyone can yet to extending Matiyesevich's theorem in the desired way."
D.V. Feldman, University of New Hampshire for CHOICE

"It gives a very comprehensive survey of what is known so far about undecidability and Diophantine definability for these rings..."
Jeroen Demeyer, Mathematical Reviews

Book Description

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.

See all Product Description

Inside This Book (Learn More)

Explore More
Concordance

Browse Sample Pages
Front Cover | Copyright | Table of Contents | Excerpt | Index