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Integration I

Chapters 1-6

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  • © 2004

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Table of contents (9 chapters)

Keywords

About this book

Intégration 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 present volume comprises Chapters 1-6 in English translation (a second volume will contain the remaining Chapters 7-9). The individual fascicles of the original French edition have been extensively reviewed. 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 Chs. 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).

Bibliographic Information

  • Book Title: Integration I

  • Book Subtitle: Chapters 1-6

  • Authors: Nicolas Bourbaki

  • DOI: https://doi.org/10.1007/978-3-642-59312-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Softcover ISBN: 978-3-642-63930-2Published: 09 February 2012

  • eBook ISBN: 978-3-642-59312-3Published: 01 December 2013

  • Edition Number: 1

  • Number of Pages: XVI, 472

  • Additional Information: Title of the original French edition: Intégration, Copyright N. Bourbaki Chapters 1 to 4, 1973 Chapter 5, 1967 Chapter 6, 1959.

  • Topics: Measure and Integration

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