Real analysis for graduate students
By: Richard F. Bass
Edition: 2nd ed.
Publisher: [Createspace Ind Pub]
Published: 2013
Place of publication: Place of publication not identified]
Language: eng
Number of pages: 402
ISBN-13: 9781481869140
Subjects: Mathematical analysis; Measure theory
Description: "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.
Notes: First edition published 2011.

Includes bibliographical references (page 395) and index.
Table of contents: title: Preliminaries; title: Families of sets; title: Measures; title: Construction of measures; title: Measurable functions; title: The Lebesgue integral; title: Limit theorems; title: Properties of Lebesque intregrals; title: Riemann integrals; title: Types of convergence; title: Product measures; title: Signed measures; title: The Radon-Nikodym theorem; title: Differentiation; title: LÞ spaces; title: Fourier transforms; title: Riesz representation; title: Banach spaces; title: Hilbert spaces; title: Topology; title: Probability; title: Harmonic functions; title: Sobolev spaces; title: Singular integrals; title: Spectral theory; title: Distributions.