Description

Book Synopsis
A Comprehensive Course in Analysis by Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Part 1 is devoted to real analysis.

Table of Contents
  • Preliminaries
  • Topological spaces
  • A first look at Hilbert spaces and Fourier series
  • Measure theory
  • Convexity and Banach spaces
  • Tempered distributions and the Fourier transform
  • Bonus chapter: Probability basics
  • Bonus chapter: Hausdorff measure and dimension
  • Bonus chapter: Inductive limits and ordinary distributions
  • Bibliography
  • Symbol index
  • Subject index
  • Author index
  • Index of capsule biographies

Real Analysis A Comprehensive Course in Analysis

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

    A Hardback by Barry Simon

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      View other formats and editions of Real Analysis A Comprehensive Course in Analysis by Barry Simon

      Publisher: MP-AMM American Mathematical
      Publication Date: 10/30/2015 12:00:00 AM
      ISBN13: 9781470410995, 978-1470410995
      ISBN10: 1470410990

      Description

      Book Synopsis
      A Comprehensive Course in Analysis by Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Part 1 is devoted to real analysis.

      Table of Contents
      • Preliminaries
      • Topological spaces
      • A first look at Hilbert spaces and Fourier series
      • Measure theory
      • Convexity and Banach spaces
      • Tempered distributions and the Fourier transform
      • Bonus chapter: Probability basics
      • Bonus chapter: Hausdorff measure and dimension
      • Bonus chapter: Inductive limits and ordinary distributions
      • Bibliography
      • Symbol index
      • Subject index
      • Author index
      • Index of capsule biographies

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