http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
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.
Incluye referencias bibliográficas (p. [295]) e índices.