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- 2010924993 abstract "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.-- Source other than Library of Congress.".
- 2010924993 contributor B12087718.
- 2010924993 created "c2010.".
- 2010924993 date "2010".
- 2010924993 date "c2010.".
- 2010924993 dateCopyrighted "c2010.".
- 2010924993 description "Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space.".
- 2010924993 description "Includes bibliographical references and indexes.".
- 2010924993 description "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.-- Source other than Library of Congress.".
- 2010924993 extent "xviii, 357 p. :".
- 2010924993 identifier "0883850435".
- 2010924993 identifier "9780883850435".
- 2010924993 identifier 2010924993-d.html.
- 2010924993 identifier 2010924993-t.html.
- 2010924993 isPartOf "Carus mathematical monographs ; no. 31.".
- 2010924993 isPartOf "The Carus mathematical monographs ; no. 31".
- 2010924993 issued "2010".
- 2010924993 issued "c2010.".
- 2010924993 language "eng".
- 2010924993 publisher "Washington, DC : Mathematical Association of America,".
- 2010924993 subject "Differentiable dynamical systems.".
- 2010924993 subject "Measure theory.".
- 2010924993 subject "QA614.8 .N55 2010".
- 2010924993 tableOfContents "Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space.".
- 2010924993 title "Randomness and recurrence in dynamical systems : a real analysis approach / Rodney Nillsen.".
- 2010924993 type "text".