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020 _a9781040269398
020 _a1040269397
020 _a9781032716497
020 _a1032716495
020 _a9781040269428
020 _a1040269427
020 _z1032712422
020 _z9781032712420
072 7 _aMAT
_x034000
_2bisacsh
072 7 _aPB
_2bicssc
082 0 4 _a515/.42
_223/eng/20241212
100 1 _aPetrovic, John Srdjan,
100 1 _eauthor.
245 1 0 _aMeasure and integral
_btheory and practice
250 _aSeventh edition.
300 _a1 online resource
490 1 _aTextbooks in mathematics series
500 _a"A Chapman & Hall Book."
520 _a"This accessible introduction to the topic covers the theory of measure and integral, as introduced by Lebesgue and developed in the first half of the 20th century. It leads naturally to Banach spaces of functions and linear operators acting on them. This material is typically covered in a graduate course and is almost always treated in an abstract way, with little or no motivation. The author employs a plethora of examples and exercises and strives to motivate every concept with its historical background. This textbook is accessible to a wider range of students, including at the undergraduate level. A major problem facing anyone teaching measure theory is how to combine the elementary approach (measure on the real line or in the plane) and the abstract measure theory. The author develops a theory of measure in the plane, then show how to generalize these ideas to an abstract setting. The result is a textbook accessible to a wider range of students. The material requires a good understanding of topics often referred to as advanced calculus, such as Riemann integration on Euclidean spaces and series of functions. Also, a reader is expected to be proficient in the basics of set theory and point-set topology, preferably including metric spaces"--
650 7 _aMATHEMATICS / Mathematical Analysis
650 0 _aMeasure theory.
650 0 _aLebesgue integral.
650 7 _2bisacsh
_94
830 0 _aTextbooks in mathematics (Boca Raton, Fla.)
856 4 0 _uhttps://www.taylorfrancis.com/books/9781032716497
856 4 2 _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
856 4 0 _3Taylor & Francis
856 4 2 _3OCLC metadata license agreement
942 _cE-BOOK
_2ddc
999 _c49638
_d49638