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Elements of Mathematics

Integration I

  • Authors
  • Nicolas Bourbaki

Table of contents

  1. Front Matter
    Pages i-xv
  2. Nicolas Bourbaki
    Pages 1-7
  3. Nicolas Bourbaki
    Pages 8-9
  4. Nicolas Bourbaki
    Pages 11-30
  5. Nicolas Bourbaki
    Pages 32-93
  6. Nicolas Bourbaki
    Pages 94-241
  7. Nicolas Bourbaki
    Pages 242-363
  8. Nicolas Bourbaki
    Pages 364-377
  9. Nicolas Bourbaki
    Pages 378-448
  10. Nicolas Bourbaki
    Pages 449-450
  11. Back Matter
    Pages 451-472

About this book

Introduction

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).

Keywords

MSC (2000): 28-01, 28Bxx, 46Exx YellowSale2006 integration measure Abelian group boundary element method Convexity form harmonic analysis inequality review tool topological vector space topology Vector space

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-59312-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-63930-2
  • Online ISBN 978-3-642-59312-3
  • Buy this book on publisher's site
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