Chaos: a very short introduction
Chaos exists in systems all around us. Even the simplest system can be subject to chaos, denying us accurate predictions of its behavior, and sometimes giving rise to astonishing structures of large-scale order. Here, Leonard Smith shows that we all have an intuitive understanding of chaotic systems...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford University Press
2007
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Very short introductions
159 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | Chaos exists in systems all around us. Even the simplest system can be subject to chaos, denying us accurate predictions of its behavior, and sometimes giving rise to astonishing structures of large-scale order. Here, Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible math and physics to explain Chaos Theory, and points to numerous examples in philosophy and literature that illuminate the problems. This book provides a complete understanding of chaotic dynamics, using examples from mathematics, physics, philosophy, and the real world, with an explanation of why chaos is important and how it differs from the idea of randomness. The author's real life applications include the weather forecast, a pendulum, a coin toss, mass transit, politics, and the role of chaos in gambling and the stock market. Chaos represents a prime opportunity for mathematical lay people to finally get a clear understanding of this fascinating concept. |
| Beschreibung: | 180 S. Ill., graph. Darst., Kt. |
| ISBN: | 9780192853783 |
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Datensatz im Suchindex
| _version_ | 1804136414090100736 |
|---|---|
| adam_text | Contents
Acknowledgements
xi
Preface
xii
List of illustrations
xv
I The emergence of chaos
1
Ł
Exponential growth, nonlinearity, common sense
22
3
Chaos in context: determinism, randomness,
and noise
33
4
Chaos in mathematical models
58
Э
Fractals, strange attractors, and
dimension(s)
76
D
Quantifying the dynamics of uncertainty
87
/
Real numbers, real observations, and computers
104
о
Sorry, wrong number: statistics and chaos
112
9
Predictability: does chaos constrain our forecasts?
123
I U Applied chaos: can we see through our models?
132
I I Philosophy in chaos
154
Glossary
163
Further reading
169
Index
173
|
| adam_txt |
Contents
Acknowledgements
xi
Preface
xii
List of illustrations
xv
I The emergence of chaos
1
Ł
Exponential growth, nonlinearity, common sense
22
3
Chaos in context: determinism, randomness,
and noise
33
4
Chaos in mathematical models
58
Э
Fractals, strange attractors, and
dimension(s)
76
D
Quantifying the dynamics of uncertainty
87
/
Real numbers, real observations, and computers
104
о
Sorry, wrong number: statistics and chaos
112
9
Predictability: does chaos constrain our forecasts?
123
I U Applied chaos: can we see through our models?
132
I I Philosophy in chaos
154
Glossary
163
Further reading
169
Index
173 |
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| ctrlnum | (OCoLC)173238014 (DE-599)BVBBV022364249 |
| dewey-full | 003.857 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003.857 |
| dewey-search | 003.857 |
| dewey-sort | 13.857 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Allgemeine Naturwissenschaft Physik Informatik Mathematik |
| discipline_str_mv | Allgemeine Naturwissenschaft Physik Informatik Mathematik |
| edition | 1. publ. |
| format | Book |
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| illustrated | Illustrated |
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| institution | BVB |
| isbn | 9780192853783 |
| language | English |
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| physical | 180 S. Ill., graph. Darst., Kt. |
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| series2 | Very short introductions |
| spelling | Smith, Leonard A. Verfasser (DE-588)140596666 aut Chaos a very short introduction Leonard A. Smith 1. publ. Oxford [u.a.] Oxford University Press 2007 180 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Very short introductions 159 Chaos exists in systems all around us. Even the simplest system can be subject to chaos, denying us accurate predictions of its behavior, and sometimes giving rise to astonishing structures of large-scale order. Here, Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible math and physics to explain Chaos Theory, and points to numerous examples in philosophy and literature that illuminate the problems. This book provides a complete understanding of chaotic dynamics, using examples from mathematics, physics, philosophy, and the real world, with an explanation of why chaos is important and how it differs from the idea of randomness. The author's real life applications include the weather forecast, a pendulum, a coin toss, mass transit, politics, and the role of chaos in gambling and the stock market. Chaos represents a prime opportunity for mathematical lay people to finally get a clear understanding of this fascinating concept. Chaotic behavior in systems Popular works Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaostheorie (DE-588)4009754-7 s DE-604 Very short introductions 159 (DE-604)BV013097034 159 Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015573539&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Smith, Leonard A. Chaos a very short introduction Very short introductions Chaotic behavior in systems Popular works Chaostheorie (DE-588)4009754-7 gnd |
| subject_GND | (DE-588)4009754-7 |
| title | Chaos a very short introduction |
| title_auth | Chaos a very short introduction |
| title_exact_search | Chaos a very short introduction |
| title_exact_search_txtP | Chaos a very short introduction |
| title_full | Chaos a very short introduction Leonard A. Smith |
| title_fullStr | Chaos a very short introduction Leonard A. Smith |
| title_full_unstemmed | Chaos a very short introduction Leonard A. Smith |
| title_short | Chaos |
| title_sort | chaos a very short introduction |
| title_sub | a very short introduction |
| topic | Chaotic behavior in systems Popular works Chaostheorie (DE-588)4009754-7 gnd |
| topic_facet | Chaotic behavior in systems Popular works Chaostheorie |
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