Introduction to integration /
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| Autor Principal: | |
|---|---|
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Oxford : New York :
Clarendon Press ; Oxford University Press,
1997.
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| LEADER | 01906nam a2200229 a 4500 | ||
|---|---|---|---|
| 001 | MAT.inmabb003683 | ||
| 008 | 971030s1997####enka#####b####001#0#eng#d | ||
| 005 | 20130221155718.0 | ||
| 245 | 1 | 0 | |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 | ||
| 859 | |h 28 |i P949 |p A-7574 |b BIB. MATEMATICA | ||