Foundations of ergodic theory:
Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, an...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
151 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 UBY01 URL des Erstveröffentlichers |
| Zusammenfassung: | Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book requires few prerequisites, with background material supplied in the appendix. The first four chapters cover elementary material suitable for undergraduate students – invariance, recurrence and ergodicity – as well as some of the main examples. The authors then gradually build up to more sophisticated topics, including correlations, equivalent systems, entropy, the variational principle and thermodynamical formalism. The 400 exercises increase in difficulty through the text and test the reader's understanding of the whole theory. Hints and solutions are provided at the end of the book |
| Beschreibung: | 1 Online-Ressource (xvi, 530 Seiten) |
| ISBN: | 9781316422601 |
| DOI: | 10.1017/CBO9781316422601 |
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| discipline | Mathematik |
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| isbn | 9781316422601 |
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| spelling | Viana, Marcelo 1962- Verfasser (DE-588)1073175278 aut Foundations of ergodic theory Marcelo Viana, IMPA, Rio de Janeiro, Krerley Oliveira, Universidade Federal de Alagoas, Brazil Cambridge Cambridge University Press 2016 1 Online-Ressource (xvi, 530 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 151 Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book requires few prerequisites, with background material supplied in the appendix. The first four chapters cover elementary material suitable for undergraduate students – invariance, recurrence and ergodicity – as well as some of the main examples. The authors then gradually build up to more sophisticated topics, including correlations, equivalent systems, entropy, the variational principle and thermodynamical formalism. The 400 exercises increase in difficulty through the text and test the reader's understanding of the whole theory. Hints and solutions are provided at the end of the book Ergodic theory / Textbooks Topology / Textbooks Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 s DE-604 Oliveira, Krerley 1979- Sonstige (DE-588)1084662000 oth Erscheint auch als Druck-Ausgabe 978-1-107-12696-1 Cambridge studies in advanced mathematics 151 (DE-604)BV044781283 151 https://doi.org/10.1017/CBO9781316422601 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Viana, Marcelo 1962- Foundations of ergodic theory Cambridge studies in advanced mathematics Ergodic theory / Textbooks Topology / Textbooks Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4015246-7 |
| title | Foundations of ergodic theory |
| title_auth | Foundations of ergodic theory |
| title_exact_search | Foundations of ergodic theory |
| title_full | Foundations of ergodic theory Marcelo Viana, IMPA, Rio de Janeiro, Krerley Oliveira, Universidade Federal de Alagoas, Brazil |
| title_fullStr | Foundations of ergodic theory Marcelo Viana, IMPA, Rio de Janeiro, Krerley Oliveira, Universidade Federal de Alagoas, Brazil |
| title_full_unstemmed | Foundations of ergodic theory Marcelo Viana, IMPA, Rio de Janeiro, Krerley Oliveira, Universidade Federal de Alagoas, Brazil |
| title_short | Foundations of ergodic theory |
| title_sort | foundations of ergodic theory |
| topic | Ergodic theory / Textbooks Topology / Textbooks Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Ergodic theory / Textbooks Topology / Textbooks Ergodentheorie |
| url | https://doi.org/10.1017/CBO9781316422601 |
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