rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Introduction to integration
  name:
    name part: Priestley, H. A. (Hilary A.)
    role:
      role term: creator
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: enk
    place:
      place term: Oxford
    place:
      place term: New York
    publisher: Clarendon Press
    publisher: Oxford University Press
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    extent: x, 306 : il. ; 24 cm.
  table of contents: 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.
  note: H. A. Priestley.
  note: MR, 99d:28001
  note: Incluye referencias bibliográficas (p. [295]) e índices.
  subject:
    topic: Integrals
  classification: 28-01 (28A25 26A42)
  related item:
    note: MR, 99d:28001
  identifier: 0198501242 (hbk)
  identifier: 0198501234 (pbk)
  identifier: 98113423
  record info:
    record content source: ScU
    record creation date: 971030
    record change date: 20130221155718.0
    record identifier: MAT.inmabb003683