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Catalogue Information
Field name	Details
Dewey Class	515
Title	Real analysis ([EBook]) / Fon-Che Liu
Author	Liu, Fon-che
Other name(s)	Oxford Scholarship Online
Publication	Oxford, U.K. : Oxford University Press , 2017
Physical Details	1 online resource (viii, 310 pages : illustrations)
Series	Oxford graduate texts in mathematics ; 26
ISBN	9780191831676
Note	Print publication date: 2016. - Print ISBN-13: 9780198790426. - Published to Oxford Scholarship Online: January 2017
Summary Note	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 construction of measures is emphasized, because it provides a unified way of looking for useful regularity properties of measures. The chapter on functions of real variables is the core of the book; it treats properties of functions that are not only basic for understanding the general features of functions but also relevant for the study of those function spaces which are important when application of functional analytical methods is in question. The chapter on basic principles of functional analysis and that on the Fourier integral reveal the intimate interplay between functional analysis and real analysis. Applications of many of the topics discussed are included; these contain explorations toward probability theory and partial differential equations.:
Mode of acces to digital resource	Digital reproduction- Oxford : Oxford University Press, 2017. - Mode of access : World Wide Web. - System requirements : Internet Explorer 6.0 (or higher) of Firefox 2.0 (or higher). Available as searchable text in HTML format.
System details note	Online access to this digital book is restricted to subscribing institutions through IP address (only for internal SISSA users)
Internet Site	http://dx.doi.org/10.1093/acprof:oso/9780198790426.001.0001
Links to Related Works	Subject References: Mathematical analysis . Authors: Liu, Fon-che . Corporate Authors: Oxford Scholarship Online . Series: Oxford graduate texts in mathematics . Classification: 515 . 515 (DDC 23) .

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Real analysis

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