Mathematical Analysis - Complex Analysis, Number Theory, Mathematics - Fields

Algebraic Numbers and Algebraic Functions

Name: Algebraic Numbers and Algebraic Functions
Author: P.M. Cohn
ISBN: 9780412361906

by P.M. Cohn

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Overview

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.

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Assuming the reader has had an undergraduate course in algebra, and is at least acquainted with topology and complex function theory, Cohn (mathematics, U. College, London) introduces more technical work in algebraic number theory, function theory, and algebraic geometry by explaining their central themes. Annotation c. Book News, Inc., Portland, OR (booknews.com)