000			02218nam a2200313Ia 4500
003			OSt
005			20250125101047.0
008			241112s9999 xx 000 0 und d
020			_a9781461269380 (pbk.) _c₹4,307.00
040			_bENG _cIISER-BPR
082			_a515.7 _bLAN _223rd
100			_aLang, Serge _91079
222			_aMathematics
245		0	_aReal and functional Analysis
250			_a3rd ed.
260			_aNew York: _bSpringer-Verlag; _cc1993.
300			_axiv, 580p. : _bill. ; _c24cm.
440			_aGraduate Texts in Mathematics _92532 _vVol. 142
504			_aIncludes bibliographic references, table of notation and subject index.
520			_aThis book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal­ ysis. I assume that the reader is acquainted with notions of uniform con­ vergence and the like. In this third edition, I have reorganized the book by covering inte­ gration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text. In a sense, the subject matter covers the same topics as elementary calculus, viz. linear algebra, differentiation and integration. This time, however, these subjects are treated in a manner suitable for the training of professionals, i.e. people who will use the tools in further investiga­tions, be it in mathematics, or physics, or what have you. In the first part, we begin with point set topology, essential for all analysis, and we cover the most important results.
650			_aMathematics _92533
650			_aAnalysis _92534
650			_aFunctional analysis _92535
650			_aReal analysis _92536
942			_cBK _2ddc
942			_2ddc _cBK
947			_a5036.1675000000005
948			_a22
999			_c4219 _d4219