£79.95

Valuations, Orderings, and Milnor $K$-Theory (Memoirs of the American Mathematical Society) (Mathematical Surveys and Monographs)

Algebra

Price data last checked 56 day(s) ago - refreshing...

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

It has never been this cheap. We have no record of a lower price.

£80 today · cheaper than every other day in the last 2 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 14 days • 14 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 14 days • 1 price levels

Days at Price

Price Analysis

Most common price: £80 (14 days, 100.0%)

Price range: £80 - £80

Price levels: 1 different prices over 14 days

Description

This monograph is a comprehensive exposition of the modern theory of valued and ordered fields. It presents the classical aspects of such fields: their arithmetic, topology, and Galois theory. Deeper cohomological aspects are studied in its last part in an elementary manner. This is done by means of the newly developed theory of generalized Milnor $K$-rings.The book emphasizes the close connections and interplay between valuations and orderings, and to a large extent, studies them in a unified manner. The presentation is almost entirely self-contained. In particular, the text develops the needed machinery of ordered abelian groups. This is then used throughout the text to replace the more classical techniques of commutative algebra. Likewise, the book provides an introduction to the Milnor $K$-theory. The reader is introduced to the valuation-theoretic techniques as used in modern Galois theory, especially in applications to birational anabelian geometry, where one needs to detect valuations from their ""cohomological footprints"". These powerful techniques are presented here for the first time in a unified and elementary way.

Product Specifications

Format: hardcover
ASIN: 082184041X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 11 May 2006
Listed Since: 27 December 2006

Barcode

No barcode data available

Valuations, Orderings, and Milnor $K$-Theory (Memoirs of the American Mathematical Society) (Mathematical Surveys and Monographs)

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory (Mathematical Surveys and Monographs)

Arithmetic Fundamental Groups and Noncommutative Algebra Book

Central Simple Algebras and Galois Cohomology: 165 (Cambridge Studies in Advanced Mathematics, Series Number 165)

Local Fields: 67 (Graduate Texts in Mathematics, 67)

Algebraic K-Groups as Galois Modules: 206 (Progress in Mathematics, 206)

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

Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts: (AMS-215) (Annals of Mathematics Studies, 215)

Complex Multiplication and Lifting Problems (Mathematical Surveys and Monographs)

Commutative Algebra: Volume II: 29 (Graduate Texts in Mathematics, 29)

Lectures on Hilbert Modular Varieties and Modular Forms (CRM Monograph) (CRM Monograph Series)

Arithmetic Algebraic Geometry: 89 (Progress in Mathematics, 89)

Central Simple Algebras and Galois Cohomology: 165 (Cambridge Studies in Advanced Mathematics, Series Number 165)

Rigid Cohomology over Laurent Series Fields: 21 (Algebra and Applications, 21)

LMS: 254 Galois Repres Algebra Geom (London Mathematical Society Lecture Note Series, Series Number 254)

Hodge Theory, Complex Geometry, and Representation Theory (Contemporary Mathematics)

Algebra: A Graduate Course (Graduate Studies in Mathematics)

Ring And Field Theory

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

Algebraic Geometry and Number Theory: Summer School, Galatasaray University, Istanbul, 2014: 321 (Progress in Mathematics, 321)

Algebraic and Arithmetic Structures of Moduli Spaces (Sapporo 2007) (Advanced Studies in Pure Mathematics): 58

Algorithmic Algebra and Number Theory: Selected Papers From a Conference Held at the University of Heidelberg in October 1997

Algebraic Geometry Salt Lake City 2015 (Part 1) (Proceedings of Symposia in Pure Mathematics)

Foundations of Commutative Rings and Their Modules: 22 (Algebra and Applications, 22)

Compactifications Of Pel-Type Shimura Varieties And Kuga Families With Ordinary Loci