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Algebraic numbers and algebraic functions

โœ Scribed by P.M. Cohn


Publisher
Chapman and Hall/CRC
Year
1991
Tongue
English
Leaves
202
Series
Chapman Hall/CRC Mathematics Series
Edition
1st
Category
Library

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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
โœ E. Artin ๐Ÿ“‚ Library ๐Ÿ“… 1967 ๐Ÿ› Routledge ๐ŸŒ English

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

Algebraic Numbers and Algebraic Function
โœ Emil Artin ๐Ÿ“‚ Library ๐Ÿ“… 1967 ๐Ÿ› Routledge ๐ŸŒ English

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

Algebraic Numbers and Algebraic Function
โœ Cohn, P. M ๐Ÿ“‚ Library ๐Ÿ“… 2017 ๐Ÿ› CRC Press ๐ŸŒ English

"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 functio