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Real Analysis Course in PDF

Contents

  • Introduction 
  • Set Theory and the Real Numbers
  • Lebesgue Measurable Sets
  • Measurable Functions 
  • Integration 
  • Differentiation and Integration 
  • The Classical Banach Spaces 
  • Baire Category 
  • General Topology 
  • Banach Spaces 
  • Fourier Series
  • Harmonic Analysis on R and S^2 
  • General Measure Theory
  • A Measurable A with A − A nonmeasurable
Description : Download Real Analysis course, and especially for the reconsideration of the notion of integral and the invention of Lebesgue integration, which goes beyond the Riemannian integral familiar from classical calculus. PDF file.
Level : Intermediate
Created : March 28, 2016
Size : 937.31 KB
File type : pdf
Pages : 140
Author : C. McMullen
Downloads: 357
Sample pages PDF ebook

Summary on tutorial Real Analysis

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