Local Fields

Local Fields

eBook - 1986
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Cambridge Univ Pr
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.
This book provides a fairly elementary and self-contained introduction to local fields.

Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1986
ISBN: 9781139171885
1139171887
9781107087644
1107087643
9781107093850
1107093856
0521304849
9780521304849
0521315255
9780521315258
Characteristics: 1 online resource (xiv, 360 pages) : illustrations

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