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

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

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"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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  • PublisherSpringer
  • Publication date2004
  • ISBN 10 3540205853
  • ISBN 13 9783540205852
  • BindingHardcover
  • Edition number1
  • Number of pages333

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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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, especiallyGeneral 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'sThéories 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 presentvolume 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). 336 pp. Englisch. Seller Inventory # 9783540205852

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