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
c2010
|
| Schriftenreihe: | Carus mathematical monographs
no. 31 |
| Schlagworte: | |
| Beschreibung: | Includes bibliographical references and indexes 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-- |
| Beschreibung: | xviii, 357 p. |
| ISBN: | 0883850435 9780883850435 9781614440000 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV044103518 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 170217s2010 |||| o||u| ||||||eng d | ||
| 020 | |a 0883850435 |9 0-88385-043-5 | ||
| 020 | |a 9780883850435 |9 978-0-88385-043-5 | ||
| 020 | |a 9781614440000 |c Online |9 978-1-61444-000-0 | ||
| 035 | |a (ZDB-30-PAD)EBC3330356 | ||
| 035 | |a (ZDB-89-EBL)EBL3330356 | ||
| 035 | |a (OCoLC)775428826 | ||
| 035 | |a (DE-599)BVBBV044103518 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 082 | 0 | |a 514.74 | |
| 100 | 1 | |a Nillsen, Rodney Victor |d 1945- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Randomness and recurrence in dynamical systems |b a real analysis approach |c Rodney Nillsen |
| 264 | 1 | |a Washington, D.C. |b Mathematical Association of America |c c2010 | |
| 300 | |a xviii, 357 p. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Carus mathematical monographs |v no. 31 | |
| 500 | |a Includes bibliographical references and indexes | ||
| 500 | |a 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-- | ||
| 505 | 0 | |a Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Measure theory | |
| 650 | 0 | 7 | |a Zufall |0 (DE-588)4068050-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 0 | 1 | |a Zufall |0 (DE-588)4068050-2 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 912 | |a ZDB-30-PAD | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029510363 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804177166122876928 |
|---|---|
| any_adam_object | |
| author | Nillsen, Rodney Victor 1945- |
| author_facet | Nillsen, Rodney Victor 1945- |
| author_role | aut |
| author_sort | Nillsen, Rodney Victor 1945- |
| author_variant | r v n rv rvn |
| building | Verbundindex |
| bvnumber | BV044103518 |
| collection | ZDB-30-PAD |
| contents | Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space |
| ctrlnum | (ZDB-30-PAD)EBC3330356 (ZDB-89-EBL)EBL3330356 (OCoLC)775428826 (DE-599)BVBBV044103518 |
| dewey-full | 514.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.74 |
| dewey-search | 514.74 |
| dewey-sort | 3514.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02718nmm a2200457zcb4500</leader><controlfield tag="001">BV044103518</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">170217s2010 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0883850435</subfield><subfield code="9">0-88385-043-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780883850435</subfield><subfield code="9">978-0-88385-043-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781614440000</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-61444-000-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-30-PAD)EBC3330356</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-89-EBL)EBL3330356</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)775428826</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044103518</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514.74</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Nillsen, Rodney Victor</subfield><subfield code="d">1945-</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Randomness and recurrence in dynamical systems</subfield><subfield code="b">a real analysis approach</subfield><subfield code="c">Rodney Nillsen</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Washington, D.C.</subfield><subfield code="b">Mathematical Association of America</subfield><subfield code="c">c2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xviii, 357 p.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Carus mathematical monographs</subfield><subfield code="v">no. 31</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and indexes</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">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--</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differentiable dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Measure theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zufall</subfield><subfield code="0">(DE-588)4068050-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Zufall</subfield><subfield code="0">(DE-588)4068050-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-30-PAD</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029510363</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV044103518 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:43:45Z |
| institution | BVB |
| isbn | 0883850435 9780883850435 9781614440000 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029510363 |
| oclc_num | 775428826 |
| open_access_boolean | |
| physical | xviii, 357 p. |
| psigel | ZDB-30-PAD |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Mathematical Association of America |
| record_format | marc |
| series2 | Carus mathematical monographs |
| spelling | Nillsen, Rodney Victor 1945- Verfasser aut Randomness and recurrence in dynamical systems a real analysis approach Rodney Nillsen Washington, D.C. Mathematical Association of America c2010 xviii, 357 p. txt rdacontent c rdamedia cr rdacarrier Carus mathematical monographs no. 31 Includes bibliographical references and indexes 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-- Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space Differentiable dynamical systems Measure theory Zufall (DE-588)4068050-2 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Zufall (DE-588)4068050-2 s 1\p DE-604 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nillsen, Rodney Victor 1945- Randomness and recurrence in dynamical systems a real analysis approach Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space Differentiable dynamical systems Measure theory Zufall (DE-588)4068050-2 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4068050-2 (DE-588)4013396-5 |
| 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 |
| title_fullStr | Randomness and recurrence in dynamical systems a real analysis approach Rodney Nillsen |
| title_full_unstemmed | Randomness and recurrence in dynamical systems a real analysis approach Rodney Nillsen |
| 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 Zufall (DE-588)4068050-2 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Differentiable dynamical systems Measure theory Zufall Dynamisches System |
| work_keys_str_mv | AT nillsenrodneyvictor randomnessandrecurrenceindynamicalsystemsarealanalysisapproach |