Description

Book Synopsis
Provides a careful introduction to the real numbers with an emphasis on developing proof-writing skills. The book continues with a logical development of the notions of sequences, open and closed sets (including compactness and the Cantor set), continuity, differentiation, integration, and series of numbers and functions.

Table of Contents
  • Preliminaries: Sets, functions and induction
  • The real numbers and the completeness property
  • Sequences
  • Topology of the real numbers and metric spaces
  • Continuous functions
  • Differentiable functions
  • Integration
  • Series
  • Sequences and series of functions
  • Solutions to questions
  • Bibliographical notes
  • Bibliography
  • Index.

    Invitation to Real Analysis

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      £79.20

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      RRP £88.00 – you save £8.80 (10%)

      Order before 4pm tomorrow for delivery by Mon 22 Jun 2026.

      A Hardback by Cesar E. Silva

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        View other formats and editions of Invitation to Real Analysis by Cesar E. Silva

        Publisher: MP-AMM American Mathematical
        Publication Date: 5/30/2019 12:00:00 AM
        ISBN13: 9781470449285, 978-1470449285
        ISBN10: 1470449285

        Description

        Book Synopsis
        Provides a careful introduction to the real numbers with an emphasis on developing proof-writing skills. The book continues with a logical development of the notions of sequences, open and closed sets (including compactness and the Cantor set), continuity, differentiation, integration, and series of numbers and functions.

        Table of Contents
        • Preliminaries: Sets, functions and induction
        • The real numbers and the completeness property
        • Sequences
        • Topology of the real numbers and metric spaces
        • Continuous functions
        • Differentiable functions
        • Integration
        • Series
        • Sequences and series of functions
        • Solutions to questions
        • Bibliographical notes
        • Bibliography
        • Index.

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