๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Algebraic numbers and algebraic functions

โœ Scribed by P.M. Cohn

Book ID
127425758
Publisher
Chapman and Hall/CRC
Year
1991
Tongue
English
Weight
2 MB
Series
Chapman Hall/CRC Mathematics Series
Edition
1st
Category
Library
ISBN-13
9780412361906

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Algebraic Numbers and Algebraic Function
Algebraic Numbers and Algebraic Functions
โœ E. Artin ๐Ÿ“‚ Library ๐Ÿ“… 1967 ๐ŸŒ English โš– 8 MB

Famous Norwegian mathematician Niels Henrik Abel advised that one should "learn from the masters, not from the pupils". When the subject is algebraic numbers and algebraic functions, there is no greater master than Emil Artin. In this classic text, originated from the notes of the course given at Pr

Rings of algebraic numbers and functions
Rings of algebraic numbers and functions
โœ Edward D. Davis ๐Ÿ“‚ Article ๐Ÿ“… 1965 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 411 KB

## Introduction. That every integrally closed subring of the field of algebraic numbers is a ring of quotients of its subring of algebraic integers is a remark of 131. The purpose of the present note is to prove this assertion without the hypothesis of integral closure (Theorem A). The proof rests