p-adic Numbers: An Introduction - Couverture souple

Gouvea, Fernando Quadros

 
9783540629115: p-adic Numbers: An Introduction
Couverture souple
ISBN 10 : 3540629114 ISBN 13 : 9783540629115
Editeur : Springer, 2013

Synopsis

There are numbers of all kinds: rational, real, complex, p-adic... The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This book is an elementary introduction to p-adic numbers. Most other books on the subject are written for more advanced students. This book can almost be viewed as an introduction to be read in preparation for reading these more advanced texts. Readers who want to have an idea and appreciation of the subject but do not need to become specialists will probably find what they need in this book, while other texts may be too technical. In this second edition the treatment of the p-adic logarithm and exponential functions has been modified to put more emphasis in the properties of functions defined by power series and to highlight the subtleties that arise when one considers the composition of formal power series in a non-archimedian context. The text and the exercises have been revised and partly reorganised; among the new exercises added one points towards Mahlers'p-adic interpolation theory.

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

Éditeur
Springer
Date d'édition
2013
Langue
anglais
ISBN 10 
3540629114
ISBN 13 
9783540629115
Reliure
Broché
Numéro d'édition
2
Nombre de pages
312
Coordonnées du fabricant
non disponible
Personne responsable
non disponible