Algebraic Numbers and Algebraic Functions
1st Edition
Published on 18. January 2018
204 pages
978-1-351-08648-6 (ISBN)
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.
More details
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Product notice
Reflowable
ISBN-13
978-1-351-08648-6 (9781351086486)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
11/2017
1st Edition
Taylor & Francis
€198.08
Shipment within 15-20 days
Person
P.M. Cohn
Content
1. Fields with valuations 2. Extensions 3. Global fields 4. Function fields 5. Algebraic function fields in two variables
