UID:
almahu_9947363273902882
Umfang:
VI, 282 p.
,
online resource.
ISBN:
9783662222782
Serie:
Universitext,
Inhalt:
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.
Anmerkung:
1 Apéritif -- 2 Foundations -- 3 p-adic Numbers -- 4 Elementary Analysis in ? p -- 5 Vector Spaces and Field Extensions -- 6 Analysis in ? p -- A Hints and Comments on the Problems -- B A Brief Glance at the Literature -- B.1 Texts -- B.2 Software -- B.3 Other books.
In:
Springer eBooks
Weitere Ausg.:
Printed edition: ISBN 9783540568445
Sprache:
Englisch
DOI:
10.1007/978-3-662-22278-2
URL:
http://dx.doi.org/10.1007/978-3-662-22278-2
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