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"Nearly every Ph. D. student in mathematics needs to take a preliminary or qualifying examination in real analysis. This book provides the necessary tools to pass such an examination."--Back cover.
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Previews available in: English
Subjects
Measure theory, Mathematical analysisEdition | Availability |
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1
Real analysis for graduate students
2013, [Createspace Ind Pub]
in English
- 2nd ed.
1481869140 9781481869140
|
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Libraries near you:
WorldCat
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2
Real analysis for graduate students: measure and integration theory
2011, Richard F. Bass
in English
146639157X 9781466391574
|
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Libraries near you:
WorldCat
|
Book Details
Table of Contents
Preliminaries
Families of sets
Measures
Construction of measures
Measurable functions
The Lebesgue integral
Limit theorems
Properties of Lebesque intregrals
Riemann integrals
Types of convergence
Product measures
Signed measures
The Radon-Nikodym theorem
Differentiation
LÞ spaces
Fourier transforms
Riesz representation
Banach spaces
Hilbert spaces
Topology
Probability
Harmonic functions
Sobolev spaces
Singular integrals
Spectral theory
Distributions.
Edition Notes
First edition published 2011.
Includes bibliographical references (page 395) and index.
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Feedback?January 15, 2023 | Edited by ImportBot | import existing book |
July 6, 2019 | Created by MARC Bot | import new book |