Description

Book Synopsis
Introduces $p$-adic numbers from the point of view of number theory, topology, and analysis. Covering several topics from real analysis and elementary topology, this book includes totally disconnected spaces and Cantor sets, points of discontinuity of maps and the Baire Category Theorem, and surjectivity of isometries of compact metric spaces.

Table of Contents
Arithmetic of the $p$-adic numbers The topology of $\mathbb{Q}_p$ vs. the topology of $\mathbb{R}$ Elementary analysis in $\mathbb{Q}_p$ $p$-adic functions Answers, hints, and solutions for selected exercises Bibliography Index.

padic Analysis Compared with Real

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    A Paperback by Svetlana Katok

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      Book details

      Publisher American Mathematical Society
      Published 4/30/2007 12:00:00 AM
      ISBN-13 9780821842201
      978-0821842201
      ISBN-10 082184220X

      Description

      Book Synopsis
      Introduces $p$-adic numbers from the point of view of number theory, topology, and analysis. Covering several topics from real analysis and elementary topology, this book includes totally disconnected spaces and Cantor sets, points of discontinuity of maps and the Baire Category Theorem, and surjectivity of isometries of compact metric spaces.

      Table of Contents
      Arithmetic of the $p$-adic numbers The topology of $\mathbb{Q}_p$ vs. the topology of $\mathbb{R}$ Elementary analysis in $\mathbb{Q}_p$ $p$-adic functions Answers, hints, and solutions for selected exercises Bibliography Index.

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