000			02100nam a2200325 u 4500
001			1325967
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020			_a9788185931951
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040			_ccomduadb
041			_aeng
082		4	_a515
100	1	0	_aTao, Terence _4aut _eaut _9669494
245	1	0	_aAnalysis II
250			_a2. ed.
260			_aIndia : _bHindustan Book Agency, _c2009.
300			_axii, 350-566 p.
490	0		_aText and Readings in Mathematics ; _v38
500			_aGENERAL : Incluye índice.
520	3		_aThis is part two 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 fundations. The material starts at the very beginning-the constrruction of 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 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. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory. In this second edition, several typos and other errors have been corrected.
650		7	_aAnálisis matemático _2lemb _91080
650			_aEspacios métricos _940037
650			_aConvergencia (Matemáticas) _929719
650			_aSerie de potencias _960901
650		7	_aSeries de Fourier _2lemb _95723
650		7	_aCálculo diferencial _2lemb _91670
650		7	_aIntegrales de Lebesgue _2lemb _9174726
942			_cBOOK
999			_c660296 _d660296