000			01548nam a2200289Ia 4500
001			CU10530
008			250306s9999 xx 000 0 und d
020			_a9788195196197
020			_c708
082			_a515.2 TAO
100			_aTerence Tao
245		0	_aAnalysis I
250			_a4th ed.
260			_aNew Delhi
260			_bHindustan Book Agency
260			_c2022
300			_axvii,343p.
520			_aThis is part one of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning--the construction of the number systems and set theory--then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty lectures each.
546			_aEnglish
650			_aAnalysis
650			_aNatural Numbers
650			_aReal Numbers
650			_aSet Theory
942			_cText Book
999			_c25035 _d25035