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A Course in P-Adic Analysis

A Course in P Adic Analysis Kurt Hensel discovered the p adic numbers around the turn of the century These exotic numbers or so they appeared at first are now well established in the mathematical world and used and by

  • Title: A Course in P-Adic Analysis
  • Author: Alain M. Robert
  • ISBN: 0387986693
  • Page: 353
  • Format: reli
  • Kurt Hensel 1861 1941 discovered the p adic numbers around the turn of the century These exotic numbers or so they appeared at first are now well established in the mathematical world and used and by physicists as well This book offers a self contained presentation of basic p adic analysis The author is especially interested in the analytical topics in this field Some of the features that are not treated in other introductory p adic analysis texts are topological models of p adic spaces inside Euclidean space, a construction of spherically complete fields, a p adic mean value theorem and some consequences, a special case of Hazewinkel s functional equation lemma, a remainder formula for the Mahler expansion, and most importantly a treatment of analytic elements.

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    A Course in P-Adic Analysis

    About "Alain M. Robert"

    1. Alain M. Robert

      Alain M. Robert Is a well-known author, some of his books are a fascination for readers like in the A Course in P-Adic Analysis book, this is one of the most wanted Alain M. Robert author readers around the world.

    313 Comments

    1. This book is excellent and everything is very well explained in it It is a pleasure to read it Be carefull however, only advanced graduate students will be able to understand all the details which sometimes are pretty subtle A good knowledge or at least intuition of topology is required.Finally, the subject of p adic numbers is very interesting


    2. This is the most complete single place to learn about the p adic numbers Two other works that are similar are Gouv a and Schikhof and I like Roberts the most of these three.This book has what is probably the longest exposition in any book on the p adic solenoid, as the appendix to Chapter 1 The group of p adic integers is a compact abelian group that can be defined as an inverse limit of finite groups, and this way of thinking about the p adic integers rather than as formal power series or as a [...]


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