000			a
999			_c30838 _d30838
008			220625b xxu||||| |||| 00| 0 eng d
020			_a9780198868798
082			_a515 _bBOU
100			_aBoules, Adel N.
245			_aFundamentals of mathematical analysis
260			_bOxford University Press, _c2021 _aOxford :
300			_axv, 462 p. ; _bill., _c24 cm
365			_b40.00 _cGBP _d100.50
504			_aIncludes bibliographical references and index.
520			_aThis volume explores real and functional analysis with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces.
650			_aMathematical analysis
650			_aArzela-Ascoli theorem
650			_aBanach space
650			_aBounded set
650			_aCaratheodary's theorem
650			_a Compact operator
650			_aContraction mapping theorem
650			_aDe Morgan's laws
650			_aDisjoint family
650			_aEgoroff's theorem
650			_aFinite-dimensional space
650			_a Fredholm alternative theorem
650			_a Gelfand's theorem
650			_aHilbert space
650			_aIndexed set
650			_aKrein-Millman theorem
650			_a Lebesgue measure
650			_aMetric space
650			_aNowhere dense set
650			_aOpen set
650			_aRiemann integral
650			_aSpace-filling curve
650			_a Topology
650			_aUniqueness theorem
650			_aVector space
942			_2ddc _cBK