Randomness and recurrence in dynamical systems a real analysis approach
(eBook)
Contributors
Published
Washington, D.C. : Mathematical Association of America, c2010.
Physical Desc
xviii, 357 pages : ill.
Status
More Details
Format
eBook
Language
English
Notes
Bibliography
Includes bibliographical references and indexes.
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.
Reproduction
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
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Citations
APA Citation, 7th Edition (style guide)
Nillsen, R. V. (2010). Randomness and recurrence in dynamical systems: a real analysis approach . Mathematical Association of America.
Chicago / Turabian - Author Date Citation, 17th Edition (style guide)Nillsen, Rodney Victor, 1945-. 2010. Randomness and Recurrence in Dynamical Systems: A Real Analysis Approach. Mathematical Association of America.
Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)Nillsen, Rodney Victor, 1945-. Randomness and Recurrence in Dynamical Systems: A Real Analysis Approach Mathematical Association of America, 2010.
MLA Citation, 9th Edition (style guide)Nillsen, Rodney Victor. Randomness and Recurrence in Dynamical Systems: A Real Analysis Approach Mathematical Association of America, 2010.
Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.
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Grouped Work ID
9070bf46-29f1-856b-39c3-57064d298ec1-eng
Grouping Information
| Grouped Work ID | 9070bf46-29f1-856b-39c3-57064d298ec1-eng |
|---|---|
| Full title | randomness and recurrence in dynamical systems a real analysis approach |
| Author | nillsen rodney victor |
| Grouping Category | book |
| Last Update | 2022-06-07 21:23:19PM |
| Last Indexed | 2024-05-18 04:32:50AM |
Book Cover Information
| Image Source | default |
|---|---|
| First Loaded | Jan 17, 2023 |
| Last Used | Apr 4, 2024 |
Marc Record
| First Detected | Aug 09, 2021 12:48:25 PM |
|---|---|
| Last File Modification Time | Nov 22, 2021 09:15:13 AM |
MARC Record
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| 245 | 1 | 0 | |a Randomness and recurrence in dynamical systems|h [eBook] :|b a real analysis approach /|c Rodney Nillsen. |
| 260 | |a Washington, D.C. :|b Mathematical Association of America,|c c2010. | ||
| 300 | |a xviii, 357 p. :|b ill. | ||
| 490 | 1 | |a The Carus mathematical monographs ;|v no. 31 | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | |a Background ideas and knowledge -- Irrational numbers and dynamical systems -- Probability and randomness -- Recurrence -- Averaging in time and space. | |
| 520 | |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--|c Source other than Library of Congress. | ||
| 533 | |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
| 650 | 0 | |a Differentiable dynamical systems. | |
| 650 | 0 | |a Measure theory. | |
| 655 | 4 | |a Electronic books. | |
| 710 | 2 | |a ProQuest (Firm) | |
| 830 | 0 | |a Carus mathematical monographs ;|v no. 31. | |
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| 856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/prescottcollege-ebooks/detail.action?docID=3330356|x Prescott College|y Prescott College users click here to access |
| 856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/yln-ebooks/detail.action?docID=3330356|x Yavapai Library Network|y All other users click here to access |
| 945 | |a E-Book | ||
