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OCoLC |
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20220616163548.0 |
| 008 |
160920s2016 enk b 001 0 eng d |
| 019 |
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|a 958448839
|a 958449048
|a 958482031
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| 020 |
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|a 0198790430 (pbk.)
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| 020 |
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|a 9780198790433 (pbk.)
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| 020 |
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|a 9780198790426 (hbk.)
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| 020 |
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|a 0198790422 (hbk.)
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| 035 |
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|a (OCoLC)958863120
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| 040 |
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|a YDX
|b eng
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|d OCLCQ
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|a EEMR
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| 050 |
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4 |
|a QA300
|b .L58 2016
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| 082 |
0 |
4 |
|a 515
|2 23
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| 100 |
1 |
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|a Liu, Fon-Che,
|e author.
|0 http://id.loc.gov/authorities/names/nb2016023287
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| 245 |
1 |
0 |
|a Real analysis /
|c Fon-Che Liu.
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| 250 |
|
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|a First edition.
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| 260 |
|
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|a Oxford, United Kingdom :
|b Oxford University Press,
|c 2016.
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| 300 |
|
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|a viii, 310 pages ;
|c 24 cm.
|
| 336 |
|
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|a text
|b txt
|2 rdacontent
|
| 337 |
|
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|a unmediated
|b n
|2 rdamedia
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| 338 |
|
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|a volume
|b nc
|2 rdacarrier
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| 490 |
1 |
|
|a Oxford graduate texts in mathematics ;
|v 26
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| 504 |
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|a Includes bibliographical references (pages 301-302) and index.
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| 505 |
0 |
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|a Introduction and preliminaries -- A glimpse of measure and integration -- Construction of measures -- Functions of real variables -- Basic principles of linear analysis -- Lp spaces -- Fourier integral and sSobolev Space H.
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| 520 |
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|a This book presents the the basics of Real Analysis. After the introductory chapter, a compact but precise treatment of general measure and integration is taken up so that readers have an overall view of the simple structure 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 sits at the core of the book; it treats in detail properties of functions that are not only basic for understanding the general feature of functions but also relevant for the study of those function spaces which are important when application of functional analytical methods is in question. This is then followed naturally by an introductory chapter on basic principles of Functional Analysis which reveals, together with the last two chapters on the space of p-integrable functions and Fourier integral, the intimate interplay between Functional Analysis and Real Analysis. Applications of many of the topics discussed are included to motivate the readers for further related studies; these contain explorations towards probability theory and partial differential equations.
|
| 650 |
|
0 |
|a Mathematical analysis.
|0 http://id.loc.gov/authorities/subjects/sh85082116
|
| 650 |
|
7 |
|a Mathematical analysis.
|2 fast
|0 (OCoLC)fst01012068
|
| 830 |
|
0 |
|a Oxford graduate texts in mathematics ;
|v 26.
|0 http://id.loc.gov/authorities/names/n96121759
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| 907 |
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|t 0
|
| 952 |
f |
f |
|p Can Circulate
|a Michigan State University-Library of Michigan
|b Michigan State University
|c MSU Main Library
|d MSU Main Library
|t 0
|e QA300 .L58 2016
|h Library of Congress classification
|i Printed Material
|m 31293035573678
|n 1
|
