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Randomness and recurrence in dynamical systems a real analysis approach

Rodney Victor Nillsen 1945-

Washington, DC Mathematical Association of America c2010

Localização: FFCLRP - Fac. Fil. Ciên. Let. de R. Preto    (517.938 N697r 31027 )(Acessar)

  • Título:
    Randomness and recurrence in dynamical systems a real analysis approach
  • Autor: Rodney Victor Nillsen 1945-
  • Assuntos: Differentiable dynamical systems; Measure theory; SISTEMAS DINÂMICOS DIFERENCIÁVEIS; MEDIDA E INTEGRAÇÃO
  • Notas: Includes bibliographical references and indexes
  • Descrição: Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space
    Randomness and Recurrence in Dynamical Systems makes accessible, at the undergraduate or beginning graduate level, results and ideas on averaging, randomness and recurrence that traditionally require measure theory. Assuming only a background in elementary calculus and real analysis, new techniques of proof have been developed, and known proofs have been adapted, to make this possible. The book connects the material with recent research, thereby bridging the gap between undergraduate teaching and current mathematical research. The various topics are unified by the concept of an abstract dynamical system, so there are close connections with what may be termed 'Probabilistic Chaos Theory' or 'Randomness'. The work is appropriate for undergraduate courses in real analysis, dynamical systems, random and chaotic phenomena and probability. It will also be suitable for readers who are interested in mathematical ideas of randomness and recurrence, but who have no measure theory background.--
  • Títulos relacionados: Série:Carus mathematical monographs no. 31
  • Editor: Washington, DC Mathematical Association of America
  • Data de criação/publicação: c2010
  • Formato: xviii, 357 p ill 22 cm.
  • Idioma: Inglês
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