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Measure and Integration de Hari Bercovici

Measure and Integration

Autor Hari Bercovici, Arlen Brown, Carl Pearcy
en Limba Engleză Hardback – 4 apr 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.  Hints are included for some of the more difficult problems.                
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Specificații

ISBN-13: 9783319290447
ISBN-10: 3319290444
Pagini: 290
Ilustrații: XI, 300 p.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.62 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Public țintă

Graduate

Cuprins

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.              

Recenzii

“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)

Notă biografică

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.                     

Textul de pe ultima copertă

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.  Hints are included for some of the more difficult problems.                            ​

Caracteristici

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