Description

Book Synopsis
Presents a careful treatment of calculus and its theoretical underpinnings from the constructivist point of view. This leads to an important and unique feature of this book: all existence proofs are direct, so showing that the numbers or functions in question exist means exactly that they can be explicitly calculated.

Table of Contents
  • Preliminaries
  • The real numbers and completeness
  • An inverse function theorem and its application
  • Limits, sequences and series
  • Uniform continuity
  • The Riemann integral
  • Differentiation
  • Sequences and series of functions
  • The complex numbers and Fourier series
  • References
  • Index.

    Real Analysis A Constructive Approach Through

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      A Hardback by Mark Bridger

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 7/30/2019 12:00:00 AM
        ISBN13: 9781470451448, 978-1470451448
        ISBN10: 1470451441

        Description

        Book Synopsis
        Presents a careful treatment of calculus and its theoretical underpinnings from the constructivist point of view. This leads to an important and unique feature of this book: all existence proofs are direct, so showing that the numbers or functions in question exist means exactly that they can be explicitly calculated.

        Table of Contents
        • Preliminaries
        • The real numbers and completeness
        • An inverse function theorem and its application
        • Limits, sequences and series
        • Uniform continuity
        • The Riemann integral
        • Differentiation
        • Sequences and series of functions
        • The complex numbers and Fourier series
        • References
        • Index.

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