Field Arithmetic

by Moshe Jarden, Michael D. Fried, Moshe Fried, Michael D.; Jarden, et al.

Book Overview

Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only...

• Format: Hardcover
• Language: English
• ISBN: 3540772693
• ISBN13: 9783540772699
• Release Date: May 2008
• Publisher: Springer
• Length: 792 Pages
• Weight: 2.79 lbs.
• Dimensions: 2.0" x 6.4" x 9.5"