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Title: Elements of Mathematics ([EBook]) : Integration I/ by Nicolas Bourbaki. Dewey Class: 515.42 Author: Bourbaki, Nicolas. Publication: Berlin, Heidelberg : Springer, 2004. Other name(s): SpringerLink (Online service) Physical Details: XVI, 472 pages : online resource. ISBN: 9783642593123 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) Summary 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. 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).: Contents note: 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. ------------------------------ *** Es sind keine Exemplare vorhanden *** -----------------------------------------------
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