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Real Analysis
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Real Analysis

Fon-Che Liu

Abstract

Real analysis in its modern aspect is presented concisely in this text for the beginning graduate student of mathematics and related disciplines to have a solid grounding in the general theory of measure and to build helpful insights for effectively applying the general principles of real analysis to concrete problems. After an introductory chapter, a compact but precise treatment of general measure and integration is undertaken to provide the reader with an overall view of the general theory before delving into special measures. The universality of the method of outer measure in the construct ... More

Keywords: measure, integration, outer measure, regularity property, function space, functional analysis, Fourier integral, probability, differential equation

Bibliographic Information

Print publication date: 2016 Print ISBN-13: 9780198790426
Published to Oxford Scholarship Online: January 2017 DOI:10.1093/acprof:oso/9780198790426.001.0001

Authors

Affiliations are at time of print publication.

Fon-Che Liu, author
Professor of Mathematics, National Taiwan University