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Notes on Measure and Integration by John Franks




Measure and Integration - Table of Contents

  • 0. Background and Foundations
  • 1. The Regulated and Riemann Integrals
  • 2. Lebesgue Measure
  • 3. The Lebesgue Integral
  • 4. The Integral of Unbounded Functions
  • 5. The Hilbert Space L2[-1, 1]
  • A. Lebesgue Measure
  • B. A Non-measurable Set

What You Will Learn in Measure and Integration

  • 0. Background and Foundations
  • 1. The Regulated and Riemann Integrals
  • 2. Lebesgue Measure
  • 3. The Lebesgue Integral
  • 4. The Integral of Unbounded Functions
  • 5. The Hilbert Space L2[-1, 1]
  • A. Lebesgue Measure
  • B. A Non-measurable Set

Book Details & Specifications

Title: Notes on Measure and Integration by John Franks
Publisher: ArXiv
Year: 2009
Pages: 118
Type: PDF
Language: English
ISBN-10 #: N/A
ISBN-13 #: N/A
License: CC BY-NC-SA 3.0 US
Amazon: Amazon

About the Author: John Franks

The author John Franks is a distinguished professor emeritus of mathematics at Northwestern University, renowned for his research in dynamical systems, topology, and analysis.

Through Notes on Measure and Integration, Franks successfully created a clear, elegant, and accessible guide to Lebesgue measure and integration theory. His precise mathematical exposition makes this text a masterpiece resource for graduate measure theory.

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