Table of Contents
Set Theory.
The Real Numbers and Calculus.
Lebesque Theory on the Real Line.
Measure Theory. Elements of Probability.
Differentiation. Elements of Topological and Metric Spaces.
Completeness, Compactness, and Approximation.
Hilbert Spaces.
Classical Banach Spaces.
Basic Theory of Normed and Locally Convex Spaces.
Elements of Harmonic Analysis. Measurable Dynamical Systems.
Index.
qu:"This is a beautifully written text. There is an excellent choice of topics and results, topics are well motivated, proofs are
precise and very readable, and there are lots of meaningful examples and useful exercises."
source:—Bruce A. Barnes, University of Oregon
qu:"This text provides the 'between the lines' insight that many students need. The greatest strengths of the text are the order
of topics, the inclusion of all major ideas of the theory, the easy readability, and the strong motivation and tight organization of
topics.
source:—Dennis D. Berkey, Boston University
qu:"The authors' exposition is extremely clear. There is literary quality in the writing that is rare in mathematics texts. It is a
pleasure to read this text."
source:—Peter L. Duren, University of Michigan
