Elements Of Mathematics Integration II; Chapters 7-9

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 Th?ories 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).Bourbaki, Nicolas is the author of 'Elements Of Mathematics Integration II; Chapters 7-9', published 2004 under ISBN 9783540205852 and ISBN 3540205853.