Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics) - Image 1

£109.97

Springer Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics)

Name: Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics)
Brand: Springer
Price: 109.99 GBP
Availability: InStock

biography

Computing & Internet

Price History & Forecast

Last 35 days • 35 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 35 days • 1 price levels

Days at Price

Price Analysis

Most common price: £110 (35 days, 100.0%)

Price range: £110 - £110

Price levels: 1 different prices over 35 days

Description

The aim of this book is to present an exposition of the theory of alge braic numbers, excluding class-field theory and its consequences. There are many ways to develop this subject; the latest trend is to neglect the classical Dedekind theory of ideals in favour of local methods. However, for numeri cal computations, necessary for applications of algebraic numbers to other areas of number theory, the old approach seems more suitable, although its exposition is obviously longer. On the other hand the local approach is more powerful for analytical purposes, as demonstrated in Tate's thesis. Thus the author has tried to reconcile the two approaches, presenting a self-contained exposition of the classical standpoint in the first four chapters, and then turning to local methods. In the first chapter we present the necessary tools from the theory of Dedekind domains and valuation theory, including the structure of finitely generated modules over Dedekind domains. In Chapters 2, 3 and 4 the clas sical theory of algebraic numbers is developed. Chapter 5 contains the fun damental notions of the theory of p-adic fields, and Chapter 6 brings their applications to the study of algebraic number fields. We include here Shafare vich's proof of the Kronecker-Weber theorem, and also the main properties of adeles and ideles.

Product Specifications

Brand: Springer
Model: biography
Format: hardcover
ASIN: 3540219021
Category: Books > Subjects > Computing & Internet
Domain: Amazon UK
Release Date: 24 June 2004
Listed Since: 22 December 2006

Barcode

No barcode data available

Springer Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

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

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

An Invitation To Algebraic Numbers And Algebraic Functions

Arithmetic of Quadratic Forms (Springer Monographs in Mathematics)

Number Theory in Function Fields: 210 (Graduate Texts in Mathematics, 210)

A Course in Analytic Number Theory (Graduate Studies in Mathematics)

Algebraic Number Theory

World Scientific Analytic Methods In Number Theory Book

Integers, Polynomials, and Rings: A Course in Algebra (Undergraduate Texts in Mathematics)

CRC Press Algebraic Numbers and Algebraic Functions Book

Springer - From Classical L-Functions to Modern Reciprocity Laws

Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields

Arithmetics: 0 (Universitext)

Classical Theory of Algebraic Numbers (Universitext)

Algebraic Theory of Numbers (Princeton Landmarks in Mathematics and Physics)

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

Elements of Algebra

Arithmetic of Quadratic Forms (Springer Monographs in Mathematics)

Problems in Algebraic Number Theory: 190 (Graduate Texts in Mathematics, 190)

Etale Cohomology and the Weil Conjecture: 13 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 13)

Number Theory: New York Seminar 2003

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

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

Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics)