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Real analysis: measure theory, integration, and Hilbert spaces

<i>Real Analysis</i> is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration,...

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Detalles Bibliográficos
Autores principales: Stein, Elias M, Shakarchi, Rami
Lenguaje:eng
Publicado: Princeton Univ. Press 2005
Materias:
Acceso en línea:http://cds.cern.ch/record/1385521
Descripción
Sumario:<i>Real Analysis</i> is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. After