Biblioteca Dr. Antonio Monteiro · Catálogo | |
LDR | ·····nam##22·····#a#4500 |
001 | 003683 |
005 | 20130221155718.0 |
008 | 971030s1997####enka#####b####001#0#eng#d |
245 | 10 | $a Introduction to integration / $c H. A. Priestley. |
260 | ## | $a Oxford : $b Clarendon Press ; $a New York : $b Oxford University Press, $c 1997. |
300 | ## | $a x, 306 : $b il. ; $c 24 cm. |
504 | ## | $a Incluye referencias bibliográficas (p. [295]) e índices. |
505 | 0# | $a 1. Setting the scene -- 2. Preliminaries -- 3. Intervals and step functions -- 4. Integrals of step functions -- 5. Continuous functions on compact intervals -- 6. Techniques of Integration I -- 7. Approximations -- 8 Uniform convergence and power series -- 9. Building foundations -- 10. Null sets -- 11. Linc functions -- 12. The space L of integrable functions -- 13 Non-integrable functions -- 14. Convergence Theorems: MCT and DCT -- 15 Recognizing integrable functions I -- 16. Techniques of integration II -- 17. Sums and integrals -- 18. Recognizing integrable functions II -- 19. The Continuous DCT -- 20. Differentiation of integrals -- 21. Measurable functions -- 22. Measurable sets -- 23. The character of integrable functions -- 24. Integration vs. differentiation -- 25. Integrable functions of Rk -- 26. Fubini's Theorem and Tonelli's Theorem -- 27. Transformations of Rk -- 28. The spaces L1, L2 and Lp -- 29. Fourier series: pointwise convergence -- 30. Fourier series: convergence re-assessed -- 31. L2-spaces: orthogonal sequences -- 32. L2-spaces as Hilbert spaces -- 33. The Fourier transform -- 34. Integration in probability theory. |
510 | 4# | $a MR, $c 99d:28001 |
020 | ## | $a 0198501242 (hbk) |
020 | ## | $a 0198501234 (pbk) |
100 | 1# | $a Priestley, H. A. $q (Hilary A.) |
650 | #0 | $a Integrals. |
084 | ## | $a 28-01 (28A25 26A42) $2 msc2000 |
010 | ## | $a ###98113423# |
040 | ## | $a ScU $c ScU $d IU $d DLC |
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