Integration is the sixth and last of the Books that form the
core of the Bourbaki series; it draws abundantly on the preceding
five Books, especially General Topology and Topological Vector
Spaces, making it a culmination of the core six. The power of the
tool thus fashioned is strikingly displayed in Chapter II of the
author's Theories Spectrales, an exposition, in a mere 38 pages, of
abstract harmonic analysis and the structure of locally compact
abelian groups.
The present volume comprises Chapters 1-6 in English translation
(a second volume will contain the remaining Chapters 7-9). The
individual fascicles of the original French edition have been
extensively reviewed. Chapters 1-5 received very substantial
revisions in a second edition, including changes to some
fundamental definitions. Chapters 6-8 are based on the first
editions of Chs. 1-5. The English edition has given the author the
opportunity to correct misprints, update references, clarify the
concordance of Chapter 6 with the second editions of Chapters 1-5,
and revise the definition of a key concept in Chapter 6 (measurable
equivalence relations)."
General
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