A Brief Guide to Algebraic Number Theory - Couverture rigide

Livre 38 sur 83: London Mathematical Society Student Texts

Swinnerton-Dyer, H. P. F.

 
9780521802925: A Brief Guide to Algebraic Number Theory
Couverture rigide
ISBN 10 : 052180292X ISBN 13 : 9780521802925
Editeur : Cambridge University Press, 2001

Synopsis

This is a 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Revue de presse

'... masterfully written. It has to be recommended to number theorists and more general to working algebraists.' J. Schoissengeier, Monatshefte für Mathematik

'... ideally suited for non-specialists who would like to know quickly what algebraic number theory is about but who do not wish to study thick volumes dealing with that subject.' Wladyslaw Narkiewicz, Zentralblatt für Mathematik

'... very readable. It is suitable for graduate students or non-specialists who wish to learn algebraic number theory.' Gabor Megyesi, Acta Sci. Math.

'It is written in a nice (but necessarily concise) style, containing exercises to broaden the reader's knowledge and skills. The result is a very solid introduction to the subject.' EMS

'The carefully chosen material is further accompanied by a large number of illustrative examples and exercises. Those features make the book an excellent guide for the reader who wants to find out what algebraic number theory is all about.' Nieuw Archief voor Wiskunde

Présentation de l'éditeur

This is a 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2001
Langue
anglais
ISBN 10 
052180292X
ISBN 13 
9780521802925
Reliure
Relié
Nombre de pages
160
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521004237: A Brief Guide to Algebraic Number Theory

Edition présentée

ISBN 10 :  0521004233 ISBN 13 :  9780521004237
Editeur : Cambridge University Press, 2001
Couverture souple