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Measure and Integration

BuchGebunden
300 Seiten
Englisch
Springererschienen am04.04.20161st ed. 2016
This book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text.mehr
Verfügbare Formate
BuchGebunden
EUR90,94
BuchKartoniert, Paperback
EUR64,19
E-BookPDF1 - PDF WatermarkE-Book
EUR64,19

Produkt

KlappentextThis book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text.
Zusammenfassung
Axiomatic treatment of Lebesgue integration allows quick access to the main convergence of theorems

Includes a brief introduction to Fourier analysis in the Euclidean setting

Provides a treatment of standard measure spaces and analytic sets

Detailed index provides easy navigation to the main results

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-319-29044-7
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2016
Erscheinungsdatum04.04.2016
Auflage1st ed. 2016
Seiten300 Seiten
SpracheEnglisch
Gewicht624 g
IllustrationenXI, 300 p.
Artikel-Nr.36528796

Inhalt/Kritik

Inhaltsverzeichnis
Rings of sets.- Measurability.- Integrals and Measures.- Convergence Theorems for Lebesgue Integrals.- Existence and Uniqueness of Measures.- Signed Measures, Complex Measures and Absolute Continuity.- Measure and Topology.- Product Measures.- The Lp Spaces.- Fourier Analysis.- Standard Measure Spaces.mehr
Kritik
"The book is a perfect introduction for graduate students into the theory of measure and Lebesgue integration. It is written in a very pedagogical way providing in each chapter many examples and a long collection of problems with a number of hints for the more challenging ones." (Oscar Blasco, zbMATH 1337.28001, 2016)mehr

Autor

Hari Bercovici is a Professor in the Department of Mathematics at Indiana University Bloomington. His research interests include functional analysis, operator theory, and free probability.
Carl Pearcy is an Emeritus Professor in Mathematics at Texas A&M University. His research interest is in functional analysis.