Elements of mathematics functions of a real variable : elementary theory
Material type: TextPublication details: UK : Springer, ©1976.Description: 338 p. ; 24cmISBN:- 9783642639326
- 515.42 23 BOU-E
- QA312-312.5
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
Books | IIITD Reference | Mathematics | REF 515.42 BOU-E (Browse shelf(Opens below)) | Loan on demand | 005874 |
Inequalities of convexity -- Historical Note -- Riesz spaces -- Measures on locally compact spaces -- Extension of a measure. LP spaces -- Integration of measures -- Historical Note -- Vectorial integration -- Historical Note.
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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).
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