Integration: v. 2 - Chapters 7-9 (Elements of Mathematics Softcover reprint of the original 1st ed. 2004)

Integration: v. 2 - Chapters 7-9 (Elements of Mathematics Softcover reprint of the original 1st ed. 2004)

By: Nicolas Bourbaki (author), Sterling K. Berberian (translator)Paperback

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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 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).

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VII. - Haar measure.- VIII. - Convolution and representations.- IX. - Measures on Hausdorff topological spaces.- Index of notations.- Index of terminology.- Principal formulas of Chapter VII.- Conditions sufficient for the existence of the convolution product.

Product Details

  • publication date: 30/11/2010
  • ISBN13: 9783642058219
  • Format: Paperback
  • Number Of Pages: 333
  • ID: 9783642058219
  • weight: 522
  • ISBN10: 3642058213
  • edition: Softcover reprint of the original 1st ed. 2004

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