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Integration I

Autor N. Bourbaki Traducere de Sterling K. Berberian
en Limba Engleză Paperback – 9 feb 2012
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 tocorrect 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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Specificații

ISBN-13: 9783642639302
ISBN-10: 3642639305
Pagini: 496
Ilustrații: XVI, 472 p.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.74 kg
Ediția:Softcover reprint of the original 1st ed. 2004
Editura: Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.