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Elements of Mathematics

Integration II

Chapters 7–9

Authors: Bourbaki, N.

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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)


Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook $79.99
price for USA in USD
  • ISBN 978-3-662-07931-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-540-20585-2
  • Free shipping for individuals worldwide. COVID-19 shipping restrictions apply.
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
Softcover $99.99
price for USA in USD
  • ISBN 978-3-642-05821-9
  • Free shipping for individuals worldwide. COVID-19 shipping restrictions apply.
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Integration II
Book Subtitle
Chapters 7–9
Authors
Translated by
Berberian, S.K.
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-07931-7
DOI
10.1007/978-3-662-07931-7
Hardcover ISBN
978-3-540-20585-2
Softcover ISBN
978-3-642-05821-9
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

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