P-adic numbers : an introduction

Author(s)

• Gouvêa, Fernando Quadros

Bibliographic Information

P-adic numbers : an introduction

Fernando Q. Gouvêa

（Universitext）

Springer, c2020

3rd ed

Note

Includes bibliographical references (p. 363-367) and index

Description and Table of Contents

Description

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

Table of Contents

1 Aperitif.- 2 Foundations.- 3 The p-adic Numbers.- 4 Exploring p.- 5 Elementary Analysis in p.- 6 Vector Spaces and Field Extensions.- 7 Analysis in p.- 8 Fun With Your New Head.- A Sage and GP: A (Very) Quick Introduction.- B Hints and Comments on the Problems.- C A Brief Glance at the Literature.- Bibliography.- Index.

by "Nielsen BookData"

Details

• NCID: BB31356842
• ISBN:
  • 9783030472948
• Country Code: sz
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cham
• Pages/Volumes: vi, 373 p.
• Size: 24 cm
• Classification:
  • LCC : QA241
  • DC20 : 512/.74
  • NDC8 : 412.2
• Subject Headings:
  • LCSH : p-adic numbers
• Parent Bibliography ID:
  • BA00021004