Algebraic Numbers and Algebraic Functions

P.M. Cohn

$305

Hardback

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English

Taylor & Francis Ltd
29 November 2017

Number theory

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.

By: P.M. Cohn
Imprint: Taylor & Francis Ltd
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm,
Weight: 453g
ISBN: 9781315890487
ISBN 10: 1315890488
Pages: 204
Publication Date: 29 November 2017
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

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

P.M. Cohn