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P-Adic Numbers : An Introduction - Fernando Q. Gouvea

P-Adic Numbers

An Introduction

Paperback

Published: 22nd May 2003
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Dieser sechste und letzte Band der Reihe Der Keynesianismus beschaftigt sich mit wachstumstheoretischen Ansatzen. Zwei zentrale Fragestellungen beherrschen die Analyse. Erstens wird untersucht, welche Implikationen aus einer konsequenten wachstumstheoretischen Interpretation moderner Varianten des Keynesianismus folgen; zweitens wird der Nachweis erbracht, daß die zentralen Ansatze der sogenannten neuen Wachstumstheorie infolge ihrer nicht-walrasianischen Struktur in geradezu konstitutivem Ausmaß auf keynesianischen Elementen aufbauen.

From the reviews:

"This is a well-written introduction to the world of p-adic numbers. The reader is led into the rich structure of the fields Qp and Cp in a beautiful balance between analytic and algebraic aspects. The overall conclusion is simple: an extraordinarily nice manner to introduce the uninitiated to the subject. Not only giving the background necessary to pursue the matter, but doing it in such a way that a healthy 'hands-on experience'is generated in the process." Mededelingen van het wiskundig genootschap

"It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." The Mathematical Gazette

From the reviews of the second edition:

"If I had to recommend one book on the subject to a student - or even to a fully grown mathematician who had never played with p-adic numbers before - it would still be this book. ... Gouvea has succeeded admirably in taking a topic that is not standard in the undergraduate mathematics curriculum and writing a book accessible to undergraduates that allows its reader to play with some intriguing mathematics and explore a topic which is both fun and important." (Darren Glass, The Mathematical Association of America, January, 2011)

Aperitif
Foundations
p-adic Numbers
Elementary Analysis in Qp
Vector Spaces and Field Extensions
Analysis in Cp
Hints and Comments on the Problems
A Brief Glance at the Literature.
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540629115
ISBN-10: 3540629114
Series: Structure and Bonding
Audience: General
Format: Paperback
Language: English
Number Of Pages: 306
Published: 22nd May 2003
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 15.6 x 23.4  x 1.6
Weight (kg): 0.48
Edition Number: 2
Edition Type: Revised