Description

Book Synopsis
Algebraic number theory is one of the most refined creations in mathematics. This book presents the essential elements of algebraic number theory, including the theory of normal extensions up through a glimpse of class field theory.

Table of Contents
Introduction The geometry of numbers Dedekind's theory of ideals Valuations Algebraic functions of one variable Normal extensions $L$-series Applications to Hecke $L$-series Quadratic number fields What next? Divisibility theory Trace, norm, different, and discriminant Harmonic analysis on locally compact abelian groups References Index.

Number Theory

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    A Hardback by Helmut Koch

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      Book details

      Publisher American Mathematical Society
      Published 6/30/2000 12:00:00 AM
      ISBN-13 9780821820544
      978-0821820544
      ISBN-10 0821820540

      Description

      Book Synopsis
      Algebraic number theory is one of the most refined creations in mathematics. This book presents the essential elements of algebraic number theory, including the theory of normal extensions up through a glimpse of class field theory.

      Table of Contents
      Introduction The geometry of numbers Dedekind's theory of ideals Valuations Algebraic functions of one variable Normal extensions $L$-series Applications to Hecke $L$-series Quadratic number fields What next? Divisibility theory Trace, norm, different, and discriminant Harmonic analysis on locally compact abelian groups References Index.

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