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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    View other formats and editions of padic Analysis Compared with Real by Svetlana Katok

    Publisher: MP-AMM American Mathematical
    Publication Date: 4/30/2007 12:00:00 AM
    ISBN13: 9780821842201, 978-0821842201
    ISBN10: 082184220X
    Also in:
    Calculus and mathematical analysis Number theory

    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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