Overview
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 elementary introduction offers a broad understanding of p-adic numbers. From the reviews: ""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
Full Product Details
Author: Fernando Quadros Gouvea
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2nd ed. 1997. Corr. 3rd printing 2003
Dimensions:
Width: 15.50cm
, Height: 1.60cm
, Length: 23.50cm
Weight: 0.980kg
ISBN: 9783540629115
ISBN 10: 3540629114
Pages: 306
Publication Date: 22 May 2003
Audience:
College/higher education
,
Professional and scholarly
,
Undergraduate
,
Postgraduate, Research & Scholarly
Replaced By: 9783030472948
Format: Paperback
Publisher's Status: Out of Print
Availability: Awaiting stock
Reviews
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 GazetteFrom 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)
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 <br> 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
