000			01668nam a2200289Ia 4500
003			OSt
005			20250214160621.0
008			241112s9999 xx 000 0 und d
020			_a9788195196197 (hbk.) _c₹ 885.00
040			_bENG _cIISER-BPR
082			_a515 _bTAO _223rd
100			_aTao, Terence _91090
222			_aMathematics
245		0	_aAnalysis I
250			_a4th ed.
260			_aNew Delhi: _bHindustan Book Agency, _cc2022.
300			_axv, 355p. : _c24cm
440			_aTexts and Readings in Mathematics _vVol. 37 _92649
504			_aIncludes appendices and subject index.
520			_aThis is the first book of a two-volume textbook on real analysis. Both the volumes—Analysis I and Analysis II—are intended for honors undergraduates who have already been exposed to calculus. The emphasis is on rigor and foundations. The material starts at the very beginning—the construction of number systems and set theory (Analysis I, Chaps. 1–5), then on to the basics of analysis such as limits, series, continuity, differentiation, and Riemann integration (Analysis I, Chaps. 6–11 on Euclidean spaces, and Analysis II, Chaps. 1–3 on metric spaces), through power series, several variable calculus, and Fourier analysis (Analysis II, Chaps. 4–6), and finally to the Lebesgue integral (Analysis II, Chaps. 7–8). There are appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) is in two quarters of twenty-five to thirty lectures each.
650			_aMathematics _92650
650			_aAnalysis _92651
942			_cBK _2ddc
942			_2ddc
947			_a885
948			_a22
999			_c4230 _d4230