02296nam a2200373uu 4500 1319403 20260508075555.0 130312e20090312 eng 9788185931944 1319403 comduadb eng 515 Tao, Terence aut aut 669494 Analysis I 2. ed. India : Hindustan Book Agency, 2009. xvi, 350 p. Text and Readings in Mathematics ; 37 GENERAL : Incluye apéndices e índice. This 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 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. Análisis matemático lemb 1080 Números naturales 29668 Números enteros 69805 Números racionales 177673 Números reales lemb 15104 Series infinitas lemb 33853 Series (Matemáticas) lemb 42973 Continuidad 57687 Integrales de Riemann - Stieltjes 88534 Secuencias (matemáticas) 29598 Lógica simbólica y matemática lemb 56647 BOOK 644344 644344 0 0 0 0 GEN BC BC 2013-03-12 Amazon.Com 80750.00 C1169583 8 3 515.2 T171 v1 0973037 2026-04-06 16:22:13 2026-02-28 1 2023-05-02 BOOK