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    METRIC SPACES
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    Sinopse

    This volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions. Key features include:

    a full chapter on product metric spaces, including a proof of Tychonoff’s Theorem
    a wealth of examples and counter-examples from real analysis, sequence spaces and spaces of continuous functions
    numerous exercises – with solutions to most of them – to test understanding.
    The only prerequisite is a familiarity with the basics of real analysis: the authors take care to ensure that no prior knowledge of measure theory, Banach spaces or Hilbert spaces is assumed. The material is developed at a leisurely pace and applications of the theory are discussed throughout, making this book ideal as a classroom text for third- and fourth-year undergraduates or as a self-study resource for graduate students and researchers.
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    ISBN9781852339227
    Pré vendaNão
    Peso248g
    Livro disponível - pronta entregaNão
    Tipo itemLivro Importado
    Número de páginas222
    Número da edição1ª EDICAO - 2005
    Código Interno233747
    Código de barras9781852339227
    AcabamentoPAPERBACK
    AutorSHIRALI, SATISH
    EditoraSPRINGER VERLAG
    Sob encomendaSim

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