A Course in p-adic Analysis / Edition 1

A Course in p-adic Analysis / Edition 1

by Alain M. Robert
Pub. Date:
Springer New York


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A Course in p-adic Analysis / Edition 1

Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of basic p-adic analysis with a focus on analytic topics. It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel’s functional equation lemma, and a treatment of analytic elements.

Product Details

ISBN-13: 9781441931504
Publisher: Springer New York
Publication date: 11/19/2010
Series: Graduate Texts in Mathematics , #198
Edition description: Softcover reprint of hardcover 1st ed. 2000
Pages: 438
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

1 p-adic Numbers.- 2 Finite Extensions of the Field of p-adic Numbers.- 3 Construction of Universal p-adic Fields.- 4 Continuous Functions on Zp.- 5 Differentiation.- 6 Analytic Functions and Elements.- 7 Special Functions, Congruences.- Specific References for the Text.- Tables.- Basic Principles of Ultrametric Analysis.- Conventions, Notation, Terminology.

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