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 first volume of the English translation comprises Chapters
1-6; the present volume completes the translation with the
remaining Chapters 7-9.
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 Chapters 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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