Algebraic Numbers and Algebraic Functions

Emil Artin

350 pages, parution le 25/05/2006

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Résumé

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 Princeton University in 1950-1951 and first published in 1967, one has a beautiful introduction to the subject accompanied by Artin's unique insights and perspectives. The exposition starts with the general theory of valuation fields in Part I, proceeds to the local class field theory in Part II, and then to the theory of function fields in one variable (including the Riemann-Roch theorem and its applications) in Part III.

Prerequisites for reading the book are a standard first-year graduate course in algebra (including some Galois theory) and elementary notions of point set topology. With many examples, this book can be used by graduate students and all mathematicians learning number theory and related areas of algebraic geometry of curves.

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Sommaire

General Preface
Preface
General Valuation Theory
Local Class Field Theory
Product Formula and Function Fields in One Variable
Index of Symbols
Subject Index

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	PAPIER
Éditeur(s)	AMS Chelsea
Auteur(s)	Emil Artin
Parution	25/05/2006
Nb. de pages	350
Format	18 x 26
Couverture	Relié
Poids	815g
Intérieur	Noir et Blanc
EAN13	9780821840757
ISBN13	978-0-8218-4075-7