Skip to main content
SpringerLink
Log in

p-adic Numbers

An Introduction

  • Textbook
  • © 1993

Overview

Authors:
  1. Fernando Q. Gouvêa

    1. Department of Mathematics and Computer Science, Colby College, Waterville, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Universitext (UTX)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-vi
    Download chapter PDF

  2. Introduction

    • Fernando Q. Gouvêa
    Pages 1-4

  3. Apéritif

    • Fernando Q. Gouvêa
    Pages 5-19

  4. Foundations

    • Fernando Q. Gouvêa
    Pages 21-39

  5. p-adic Numbers

    • Fernando Q. Gouvêa
    Pages 41-83

  6. Elementary Analysis in ℚ p

    • Fernando Q. Gouvêa
    Pages 85-116

  7. Vector Spaces and Field Extensions

    • Fernando Q. Gouvêa
    Pages 117-169

  8. Analysis in ℂ p

    • Fernando Q. Gouvêa
    Pages 171-219

  9. Back Matter

    Pages 221-284
    Download chapter PDF
Back to top

Keywords

About this book

p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the same time offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problem is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics which is off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects will benefit more directly, but all mathematics students can enjoy the book.

Authors and Affiliations

  • Department of Mathematics and Computer Science, Colby College, Waterville, USA

    Fernando Q. Gouvêa

Bibliographic Information

  • Book Title: p-adic Numbers

  • Book Subtitle: An Introduction

  • Authors: Fernando Q. Gouvêa

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-662-22278-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • eBook ISBN: 978-3-662-22278-2Published: 29 June 2013

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: VI, 282

  • Number of Illustrations: 7 b/w illustrations

  • Topics: Number Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation