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Elements of Mathematics Integration I. Chapters 1-6. (Elements of Mathematics)
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Elements of Mathematics Integration I. Chapters 1-6. (Elements of Mathematics) Hardcover - 2003 - 1st Edition

by Nicolas Bourbaki


From the publisher

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 Theories 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)."

First line

Let X be a set; in the vector space Rx of all finite numerical functions1 defined on X, let P be the set of all positive real-valued functions on X.

Details

  • Title Elements of Mathematics Integration I. Chapters 1-6. (Elements of Mathematics)
  • Author Nicolas Bourbaki
  • Binding Hardcover
  • Edition number 1st
  • Edition 1
  • Publisher Springer, Berlin
  • Date December 5, 2003
  • ISBN 9783540411291