Randomness and recurrence in dynamical systems: a real analysis approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Washington, D.C.
Mathematical Association of America
[2010]
|
| Schriftenreihe: | Carus mathematical monographs
vol. 31 |
| Schlagworte: | |
| Beschreibung: | 1 Online-Ressource (xviii, 357 Seiten) Illustrationen, Diagramme |
| ISBN: | 9781614440000 |
Internformat
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| 100 | 1 | |a Nillsen, Rodney Victor |d 1945- |e Verfasser |0 (DE-588)114432473 |4 aut | |
| 245 | 1 | 0 | |a Randomness and recurrence in dynamical systems |b a real analysis approach |c Rodney Nillsen, University of Wollongong, Australia |
| 264 | 1 | |a Washington, D.C. |b Mathematical Association of America |c [2010] | |
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| 300 | |a 1 Online-Ressource (xviii, 357 Seiten) |b Illustrationen, Diagramme | ||
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| 490 | 1 | |a Carus mathematical monographs |v vol. 31 | |
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Datensatz im Suchindex
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| author | Nillsen, Rodney Victor 1945- |
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| contents | Includes bibliographical references and indexes 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-- |
| ctrlnum | (ZDB-38-ESG)ebr10722467 (OCoLC)817962637 (DE-599)BVBBV044852041 |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044852041 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T04:34:45Z |
| institution | BVB |
| isbn | 9781614440000 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030246900 |
| oclc_num | 817962637 |
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| owner_facet | DE-11 |
| physical | 1 Online-Ressource (xviii, 357 Seiten) Illustrationen, Diagramme |
| psigel | ZDB-38-ESG ebook |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Mathematical Association of America |
| record_format | marc |
| series | Carus mathematical monographs |
| series2 | Carus mathematical monographs |
| spelling | Nillsen, Rodney Victor 1945- Verfasser (DE-588)114432473 aut Randomness and recurrence in dynamical systems a real analysis approach Rodney Nillsen, University of Wollongong, Australia Washington, D.C. Mathematical Association of America [2010] © 2010 1 Online-Ressource (xviii, 357 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Carus mathematical monographs vol. 31 Differentiable dynamical systems Measure theory Dynamisches System (DE-588)4013396-5 gnd rswk-swf Zufall (DE-588)4068050-2 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Zufall (DE-588)4068050-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-88385-043-5 Carus mathematical monographs vol. 31 (DE-604)BV049579437 31 |
| spellingShingle | Nillsen, Rodney Victor 1945- Randomness and recurrence in dynamical systems a real analysis approach Includes bibliographical references and indexes 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-- Differentiable dynamical systems Measure theory Dynamisches System (DE-588)4013396-5 gnd Zufall (DE-588)4068050-2 gnd Carus mathematical monographs |
| subject_GND | (DE-588)4013396-5 (DE-588)4068050-2 |
| title | Randomness and recurrence in dynamical systems a real analysis approach |
| title_auth | Randomness and recurrence in dynamical systems a real analysis approach |
| title_exact_search | Randomness and recurrence in dynamical systems a real analysis approach |
| title_full | Randomness and recurrence in dynamical systems a real analysis approach Rodney Nillsen, University of Wollongong, Australia |
| title_fullStr | Randomness and recurrence in dynamical systems a real analysis approach Rodney Nillsen, University of Wollongong, Australia |
| title_full_unstemmed | Randomness and recurrence in dynamical systems a real analysis approach Rodney Nillsen, University of Wollongong, Australia |
| title_short | Randomness and recurrence in dynamical systems |
| title_sort | randomness and recurrence in dynamical systems a real analysis approach |
| title_sub | a real analysis approach |
| topic | Differentiable dynamical systems Measure theory Dynamisches System (DE-588)4013396-5 gnd Zufall (DE-588)4068050-2 gnd |
| topic_facet | Differentiable dynamical systems Measure theory Dynamisches System Zufall |
| volume_link | (DE-604)BV049579437 |
| work_keys_str_mv | AT nillsenrodneyvictor randomnessandrecurrenceindynamicalsystemsarealanalysisapproach |