Cornerstones, Birkhäuser, Boston, 2005.

ISBN: 0-8176-3250-6 for the single volume.

653+xxii pages.

ISBN: 0-8176-4407-5 for the two-volume set with * Advanced Real
Analysis.
*

There is now a Digital Second Edition of this book. It is available only in electronic form.

** Chapter Titles: **

Theory of Calculus in One Real Variable

Metric Spaces

Theory of Calculus in Several Real Variables

Theory of Ordinary Differential Equations and Systems

Lebesgue Measure and Abstract Measure Theory

Measure Theory for Euclidean Space

Differentiation of Lebesgue Integrals on the Line

Fourier Transform in Euclidean Space

L^p Spaces

Topological Spaces

Integration on Locally Compact Spaces

Hilbert and Banach Spaces

** File Available:**

Front matter -
PDF

**Corrections:**

The final list of corrections to the 2005 version appears in the file
below. Many of these corrections
were kindly sent to the author either by S. H. Kim of South Korea or by
Jacques
Larochelle of Canada. The correction on pages 39 and 40 was kindly sent
by
Glenn Jia of China. The long correction for pages 596-598 resulted from
a discussion with Qiu Ruyue.

Corrections (2/15/2015) -
PDF

Last modified: 1/27/2016