Elements of mathematics functions of a real variable :
Bourbaki, Nicolas
Elements of mathematics functions of a real variable : elementary theory by Nicolas Bourbaki. - UK : Springer, ©1976. - 338 p. ; 24cm.
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.
License restrictions may limit access.
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).
9783642639326
10.1007/978-3-642-59312-3 doi
Mathematics.
Mathematics.
Measure and Integration.
QA312-312.5
515.42 / BOU-E
Elements of mathematics functions of a real variable : elementary theory by Nicolas Bourbaki. - UK : Springer, ©1976. - 338 p. ; 24cm.
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.
License restrictions may limit access.
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).
9783642639326
10.1007/978-3-642-59312-3 doi
Mathematics.
Mathematics.
Measure and Integration.
QA312-312.5
515.42 / BOU-E