Overview
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents(3 chapters)
Keywords
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).
Reviews
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)
Bibliographic Information
Book Title: Integration II
Book Subtitle: Chapters 7–9
Authors: Nicolas Bourbaki
DOI: https://doi.org/10.1007/978-3-662-07931-7
Publisher: Springer Berlin, Heidelberg
-
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2004
Hardcover ISBN: 978-3-540-20585-2Published: 07 September 2004
Softcover ISBN: 978-3-642-05821-9Published: 30 November 2010
eBook ISBN: 978-3-662-07931-7Published: 29 June 2013
Edition Number: 1
Number of Pages: VII, 326
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