Advanced Real Analysis, Digital Second Edition
Published by the author, 2016.
Corrected version, 2017.
Digital version in PDF only, freely distributed, not to be sold.
Corrected version distributed by Project Euclid free of charge with
ISBN 978-1-4297-9991-1.
620+xxviii pages.
A companion volume Basic Real Analysis, Digital Second Edition,
was pubished in 2016.
It has no ISBN.
Chapter Titles:
Introduction to Boundary-Value Problems
Compact Self-Adjoint Operators
Topics in Euclidean Fourier Analysis
Topics in Functional Analysis
Distributions
Compact and Locally Compact Groups
Aspects of Partial Differential Equations
Analysis on Manifolds
Foundations of Probability
Introduction to Wavelets
Files Available:
The following files of the corrected version of 2017 are available
at the download page:
- Front cover and whole inside together,
- Clickable version of front cover and inside together.
The corrected version of 2017 differs from the original version of
2016 in the following ways:
- Front cover, title page, and copyright page have been adjusted
to take note of the new version.
- A paragraph has been added to the end of the Preface to the
Second Edition concerning the corrected version.
- Six small corrections have been made to Chapter III, one small
change has been made to the last page of Chapter IX, and
approximately 80 small corrections have been made to Chapter
X. Most of these corrections are listed in an archived
file of corrections listed below.
Corrections to the digital second edition, corrected version:
A list of corrections appears in the file below.
Corrections (12/12/2022) - PDF .
Most of the corrections were kindly pointed out by Arjun Sudan.
Archived files:
Below are files of the original 2016 version and its
corrections. These files are now obsolete.
- Whole inside of original 2016 version in PDF,
- Front cover of original 2016 version in JPG,
- Front cover and whole inside of original 2016 version in PDF,
- Corrections dated 1/23/2017 to original 2016 version, in PDF. Most
of the corrections were kindly pointed out by Ehssan
Khanmohammadi.
Last modified: 9/1/2023