p-adic Numbers: An Introduction

Front Cover
Springer Science & Business Media, Dec 6, 2012 - Mathematics - 306 pages
0 Reviews
In the course of their undergraduate careers, most mathematics majors see little beyond "standard mathematics:" basic real and complex analysis, ab stract algebra, some differential geometry, etc. There are few adventures in other territories, and few opportunities to visit some of the more exotic cor ners of mathematics. The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe. Such a visit offers a glimpse of a part of mathematics which is both important and fun, and which also is something of a meeting point between algebra and analysis. Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory. This importance comes from the fact that they afford a natural and powerful language for talking about congruences between integers, and allow the use of methods borrowed from calculus and analysis for studying such problems. More recently, p-adic num bers have shown up in other areas of mathematics, and even in physics.

What people are saying - Write a review

We haven't found any reviews in the usual places.


Foundations 23
padic Numbers
Elementary Analysis in Qp 87
Vector Spaces and Field Extensions
Analysis in Cp
A Hints and Comments on the Problems 235
B A Brief Glance at the Literature
Index 299

Other editions - View all

Common terms and phrases

Bibliographic information