A Course in p-adic Analysis

By: Alain M. Robert

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Hardcover | 31 May 2000

At a Glance

Hardcover
460 Pages

Dimensions(cm)
23.5 x 15.88 x 2.54

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Discovered at the turn of the 20^th 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.

Industry Reviews

From the reviews:

MATHEMATICAL REVIEWS

"The text ends with a large number of exercises. The writing is extremely clear and very meticulous. The bibliography, which does not attempt to be comprehensive, is adequate. I recommend A. Robert's book without reservation to anyone who wants to have a reference text on one-variable p-adic analysis that is clear, complete and pleasant to read."

MATHSCINET

"Robert's book is aimed at an intermediate level between the very specialized monographs and the elementary texts. It has no equal in the marketplace, because it covers practically all of p-adic analysis of one variable (except the rationality of the zeta function of an algebraic variety over a finite field and the theory of p-adic differential equations) and contains numerous results that were accessible only in articles or even in preprints. ...

I recommend A. Robert's book without reservation to anyone who wants to have a reference text on one-variable p-adic analysis that is clear, complete and pleasant to read."
D. Barsky in MathSciNet, August 2001

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P-adic numbers
Finite extensions of the field of p-adic numbers
Constructions of universal p-adic fields
Continuous functions
Calculus
Analytic functions and elements
Special functions
Congruences
Table of Contents provided by Publisher. All Rights Reserved.

A Course in p-adic Analysis

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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Paperback

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