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p-adic Numbers

An Introduction

Specificaties
Paperback, blz. | Engels
Springer International Publishing | 3e druk, 2020
ISBN13: 9783030472948
Rubricering
Springer International Publishing 3e druk, 2020 9783030472948
Onderdeel van serie Universitext
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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

Specificaties

ISBN13:9783030472948
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
Druk:3

Inhoudsopgave

1 Apéritif.- 2 Foundations.- 3 The p-adic Numbers.- 4 Exploring ℚ<sub>p</sub>.- 5 Elementary Analysis in ℚ<sub>p</sub>.- 6 Vector Spaces and Field Extensions.- 7 Analysis in ℂ<sub>p</sub>.- 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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