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Integration II: Chapters 7–9 (Elements of Mathematics) - Hardcover

Bourbaki, N.

 
9783540205852: Integration II: Chapters 7–9 (Elements of Mathematics)

Synopsis

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 Théories 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 theconcordance 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).

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Review

From the reviews:

"This volume of the new English edition of the famous series of monographs contains chapters ... which are devoted to integration theory. ... It contains the basic theory on locally compact groups, an abstract theory, applications and examples. ... Due to an abstract, general and exact exposition, the textbook may also be of interest for specialists in the topic." (EMS Newsletter, June, 2006)

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Other Popular Editions of the Same Title

9783642058219: Integration II: Chapters 7–9 (Elements of Mathematics)

Featured Edition

ISBN 10:  3642058213 ISBN 13:  9783642058219
Publisher: Springer, 2010
Softcover