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Cassels, J. W. S. 作者

译者

1986-8 出版日期

376 页数

$ 93.79 价格

丛书系列

9780521315258 图书编码

Local Fields 在线电子书图书标签: Mathematics 解析数论7 数学 number_theory algebriac_number_theory Number-Theory

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Local Fields 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. Today the use of this and other local fields pervades much of mathematics, yet these simple and natural concepts, which often provide remarkably easy solutions to complex problems, are not as familiar as they should be. This book, based on postgraduate lectures at Cambridge, is meant to rectify this situation by providing a fairly elementary and self-contained introduction to local fields. After a general introduction, attention centres on the p-adic numbers and their use in number theory. There follow chapters on algebraic number theory, diophantine equations and on the analysis of a p-adic variable. This book will appeal to undergraduates, and even amateurs, interested in number theory, as well as to graduate students.

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