P-adic numbers : an introduction
著者
書誌事項
P-adic numbers : an introduction
(Universitext)
Springer, c2020
3rd ed
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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.
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