9780486810287

Lectures on Measure and Integration

by
  • ISBN13:

    9780486810287

  • ISBN10:

    0486810283

  • Format: Paperback
  • Copyright: 2016-11-16
  • Publisher: Dover Publications

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Supplemental Materials

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  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
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Summary

These well-known and concise lecture notes present the fundamentals of the Lebesgue theory of integration and an introduction to some of the theory's applications. Suitable for advanced undergraduates and graduate students of mathematics, the treatment also covers topics of interest to practicing analysts.
Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition of the integral and its main properties. The notes contain chapters on the Lebesgue spaces and their duals, differentiation of measures in Euclidean space, and the application of integration theory to Fourier series.

Author Biography

Harold Widom is Professor Emeritus of Mathematics at the University of California, Santa Cruz. His other Dover book is Lectures on Integral Equations.

Table of Contents

I. Measures
II. Integration
III. The Theorems of Fubini
IV. Representations of Measures
V. The Lebesgue Spaces
VI. Differentiation
VII. Fourier Series

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