Algebraic Numbers and Algebraic Functions: 1st Edition (Hardback) book cover

Algebraic Numbers and Algebraic Functions

1st Edition

By P.M. Cohn

Chapman and Hall/CRC

204 pages

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Hardback: 9781315890487
pub: 2017-11-29
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Description

This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In function theory the aim is the Abel-Jacobi theorem describing the devisor class group, with occasional geometrical asides to help understanding. Assuming only an undergraduate course in algebra, plus a little acquaintance with topology and complex function theory, the book serves as an introduction to more technical works in algebraic number theory, function theory or algebraic geometry by an exposition of the central themes in the subject.

Table of Contents

1. Fields with valuations 2. Extensions 3. Global fields 4. Function fields 5. Algebraic function fields in two variables

Subject Categories

BISAC Subject Codes/Headings:
MAT022000
MATHEMATICS / Number Theory