000 nam a22 7a 4500
999 _c29520
_d29520
008 190524b xxu||||| |||| 00| 0 eng d
020 _a9780198790433
_c(pbk)
082 _a515
_bLIU
100 _aLiu, Fon-Che
245 _aReal analysis
250 _a1st ed.
260 _aOxford:
_bOxford University Press,
_c2016
300 _aviii, 310 p.;
_c24 cm.
365 _aGBP
_b36.99
_d00
490 _aOxford graduate texts in mathematics
504 _aIncludes bibliographical references and index.
520 _aReal analysis is indispensable for in-depth understanding and effective application of methods of modern analysis. The core of the book describes the theory of functions of a real variable, framed in the setting of general measure and integration. Heavy emphasis is placed on measures and functions defined in Euclidean n-space; in particular, function spaces defined in terms of Lebesgue measure on Rn are treated in some detail including introduction of useful operations on these spaces, mindful that this area of real analysis plays a fundamental role in many mathematical fields and lends a helpful hand to analysis of various problems of mathematical physics and engineering. Numerous examples are included at each stage to illustrate the expressed ideas, with exercises scattered throughout the text. This book is intended primarily for graduate students, but can also be used in upper level undergraduate studies and for self-study.
650 _aFunctions of real variables
650 _aMathematical analysis
942 _2ddc
_cBK