Description

November 9th 2006 | Kindle Edition | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 330 pages | ISBN: | 7.75 Mb

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 gaveMoreIn 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 Hilberts Tenth Problem, was shown to be unsolvable. This book presents an account of results extending Hilberts 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 Mazurs conjectures on topology of rational points and Poonens elliptic curve method for constructing a Diophatine model of rational integers over a very large subring of the field of rational numbers.

Related Archive Books

Related Books

- Harry S. Truman
- 23.11.2013Walking Whispers in a Calamityridden World
- 07.12.2011Zehn Kleine Raupenkinder Und Das Große Wunder
- 31.08.2012O silêncio é uma página em branco. Faça barulho!!!
- 25.06.2015The Relic
- 21.05.2014Gospel Versus Gospel: Mission and the Mennonite Church, 1863-1944 (Studies in Anabaptist and Mennoni
- 04.07.2012The Hal Leonard Recording Method - Book One: Microphones and Mixers
- 11.05.2012Fire TV Stick kompakt: Das ultimative Anwenderhandbuch
- 25.05.2015Miglas zirgi
- 04.02.2015Sejuta Cinta di Sydney

Comments

More Categories

- Science & Mathematics
- Food & Drink
- Sport
- Banking
- Study Guides
- Technical
- Astrophysics
- Language
- Science & Mathematics
- Bibliographies
- Business Ethics
- Theory
- Religious Studies
- Secondary Education

Recommendations