Elements of Mathematics : Integration I, Chapters 1-6

By: Bourbaki, NContributor(s): Translated by Berberian, Sterling K | Translated by EmiritusMaterial type: TextTextPublication details: New York: Springer, [c2004]Description: 472 pISBN: 9783642639302Subject(s): MathematicsDDC classification: QA21
Contents:
1. Inequalities of convexity 2. Historical Note 3. Riesz spaces 4. Measures on locally compact spaces 5. Extension of a measure. LP spaces 6. Integration of measures 7. Historical Note 8. Vectorial integration 9. Historical Note
Summary: 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.
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1. Inequalities of convexity
2. Historical Note
3. Riesz spaces
4. Measures on locally compact spaces
5. Extension of a measure. LP spaces
6. Integration of measures
7. Historical Note
8. Vectorial integration
9. Historical Note

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.

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