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.
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
Files Available:
Table of Contents - PDF
Preface, Dependence Among Chapters, Guide for the Reader -
PDF
Sample pages of Chapter I, Theory of Calculus in One Real
Variable - PDF
Sample pages of Chapter V, Abstract Measure Theory and
Lebesgue Measure - PDF
Sample pages of Chapter VI, Measure Theory for Euclidean Space
- PDF
Corrections:
A list of corrections 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.
Corrections (2/15/08) -
PDF