000			01751nam a22002297a 4500
003			OSt
005			20241105153645.0
008			200320b ||||| |||| 00| 0 eng d
020			_a9789380250649
040			_cEducational Supplies _aICTS-TIFR
050			_aQA300.TAO
100			_aTerence Tao
245			_aAnalysis I _b: third edition
250			_a3rd ed.
260			_aNew Delhi: _bHindustan Book Agency, _c[c2014]
300			_a347 p
490			_aTexts and Readings in Mathematics _v37
505			_a1. Introduction 2. Starting at the beginning: the natural numbers 3. Set theory 4. Integers and rationals 5. The real numbers 6. Limits of sequences 7. Series 8. Infinite sets 9. Continuous functions on R 10. Differentiation of functions 11. The Riemann integral
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. --- summary provided by publisher
650			_aMathematics
942			_2lcc _cBK
999			_c3063 _d3063