P-adic numbers : an introduction

著者

• Gouvêa, Fernando Quadros

書誌事項

P-adic numbers : an introduction

Fernando Q. Gouvêa

（Universitext）

Springer, c2020

3rd ed

注記

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

内容説明・目次

内容説明

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

目次

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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB31356842
• ISBN:
  • 9783030472948
• 出版国コード: sz
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cham
• ページ数/冊数: vi, 373 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA241
  • DC20 : 512/.74
  • NDC8 : 412.2
• 件名:
  • LCSH : p-adic numbers
• 親書誌ID:
  • BA00021004