© 2004

Integration II

Chapters 7–9

  • Authors

Table of contents

  1. Front Matter
    Pages i-vii
  2. Nicolas Bourbaki
    Pages 1-94
  3. Nicolas Bourbaki
    Pages 95-176
  4. Nicolas Bourbaki
    Pages 177-308
  5. Back Matter
    Pages 309-326

About this book


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).


function harmonic analysis integration measure topology

Bibliographic information

  • Book Title Integration II
  • Book Subtitle Chapters 7–9
  • Authors N. Bourbaki
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-20585-2
  • Softcover ISBN 978-3-642-05821-9
  • eBook ISBN 978-3-662-07931-7
  • Edition Number 1
  • Number of Pages VII, 326
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Title of the original French edition: Éléments de Mathématiques, Intégration - Copyright N. Bourbaki, Chapters 7 and 8, 1963; Chapter 9, 1969
  • Topics Measure and Integration
  • Buy this book on publisher's site


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)