Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 11) - Image 1

£91.90

Springer Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 11)

Name: Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 11)
Brand: Springer
Price: 91.9 GBP
Availability: InStock

Algebra

Price History & Forecast

Last 16 days • 16 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 16 days • 1 price levels

Days at Price

Price Analysis

Most common price: £92 (16 days, 100.0%)

Price range: £92 - £92

Price levels: 1 different prices over 16 days

Description

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 complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)? The third edition improves the second edition in two ways: First it removes many typos and mathematical inaccuracies that occur in the second edition (in particular in the references). Secondly, the third edition reports on five open problems (out of thirtyfour open problems of the second edition) that have been partially or fully solved since that edition appeared in 2005.

Product Specifications

Brand: Springer
Format: Hardcover
ASIN: 3540772693
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 06 May 2008
Listed Since: 03 December 2007

Barcode

No barcode data available

Springer Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 11)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 11)

Field Arithmetic: 11 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 11)

Number Theory III: Diophantine Geometry

The Absolute Galois Group of a Semi-Local Field (Springer Monographs in Mathematics)

Lectures in Abstract Algebra: III. Theory of Fields and Galois Theory: 32 (Graduate Texts in Mathematics, 32)

Elementary Geometry in Hyperbolic Space: 11 (De Gruyter Studies in Mathematics, 11)

Class Groups of Number Fields and Related Topics

The Brauer–Grothendieck Group: 71 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 71)

Basic Algebraic Geometry (Springer Study Edition)

Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics)

Algebraic Number Theory: 110 (Graduate Texts in Mathematics, 110)

World Scientific Analytic Methods In Number Theory Book

Elementary Galois Theory: A Constructive Approach: 3 (Mathematics Study Resources, 3)

Arithmetic Fundamental Groups and Noncommutative Algebra Book

Alegebraic Curves and Cryptography (Fields Institute Communications) (Fields Institute Monographs)

Polynomials: 11 (Algorithms and Computation in Mathematics, 11)

Arithmetic Groups and Their Generalizations: What, Why, and How (AMS/IP Studies in Advanced Mathematics)

Polynomials: 11 (Algorithms and Computation in Mathematics, 11)

Abstract Algebra: An Introduction to Groups, Rings and Fields: INTRO TO GROUP, RING..

Algebraic Cryptanalysis

Algebraic Curves over a Finite Field (Princeton Series in Applied Mathematics): 20

World Scientific Function Field Arithmetic - Math Textbook

Cryptography Arithmetic: Algorithms and Hardware Architectures: 77 (Advances in Information Security, 77)

Finite Fields: Theory and Computation: The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography: 477 (Mathematics and Its Applications, 477)