How complexity shapes the world:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Newcastle-upon-Tyne
Cambridge Scholars Publisher
2021
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| Edition: | First published |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xii, 376 Seiten, 6 ungezählte Seiten Tafeln Illustrationen, Diagramme (teilweise farbig) 21 cm |
| ISBN: | 9781527571877 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents (Concise) Introduction........................................................................................ 1 I. Background and History............................................................ 9 1. A Science Discovered Late........................................................11 1.1. Linear Perception and Linearization....................................11 1.2. The Roots of Complexity Research....................................15 1.3. Contemporary Dynamic Knowledge................................... 21 II. The Nature of Complex Phenomena.......................................25 2. Characteristics of Complexity......................................................28 2.1. Hallmarks.............................................................................28 2.2. Bifurcations..........................................................................45 2.3. Strange Attractors................................................................50 2.4. The Edge of Chaos..............................................................60 2.5. Unique Responses to External Force................................. 63 3. Sources of Complexity................................................................ 71 3.1. Disturbance of Periodicity................................................... 71 3.2. Destabilizing Feedback...................................................... 75 3.3. Energy Transfer from Micro- to Macro-Scale.....................78 3.4. Fractal Geometry................................................................ 88 III. Common Features of Complex
Occurrences..................... 117 4. Complexity and the Progression of Time................................. 120 4.1. Parameter Time................................................................ 122 4.2. Coordinate Time............................................................... 122 4.3. Operator Time.................................................................. 126
vi Contents (Concise) 5. Depiction of Complexity in Conceptual Space........................ 131 5.1. Abstract Spaces............................................................... 131 5.2. State Space...................................................................... 136 5.3. Phase Space.................................................................... 137 5.4. Event Space..................................................................... 140 5.5. The Multiplicative Ergodic Theorem in Various Spaces .... 141 6. Depiction of Complexity on Adaptive Landscapes................... 146 6.1. Basic Rules for Movements across the Landscape........ 146 6.2. Mathematical Models....................................................... 148 6.3. Plasticity of the Landscape............................................... 153 7. Depiction of Complexity in Harmonics...................................... 156 7.1. Wave Relations................................................................ 158 7.2. Fourier Series................................................................... 163 7.3. Wavelet Analysis.............................................................. 171 7.4 Autocorrelation..................................................................172 8. Common Measures of Complexity........................................... 175 8.1. Dimensionality in Conceptual Space................................179 8.2. Information Evolution........................................................ 184 8.3. Entropy............................................................................. 190
IV. Analytics of Complexity.......................................................... 199 9. Algorithms................................................................................. 203 9.1. Differential Equations or Difference Equations................ 203 9.2. Integration Methods.......................................................... 209 9.3. Matrix Calculations........................................................... 211 9.4. Probabilistic Approaches.................................................. 214 9.5. Geometry in Abstract Space............................................ 231 9.6. Comparison to Surrogate Data......................................... 237 10. Visualization............................................................................ 242 10.1. Time Series.................................................................... 242 10.2. Bifurcation Diagrams...................................................... 243 10.3. Maps................................................................................245 10.4. Reduction of Dimensions............................................... 251
How Complexity Shapes the World vii V. Applications.............................................................................259 11. Complex Phenomena in the World......................................... 264 11.1. Motion and Progression..................................................264 11.2. Nature..............................................................................274 11.3. Networks..........................................................................292 11.4. Economy.......................................................................... 312 12. Complexity in the Human Mind................................................322 12.1. Self-Reflexive Brain.........................................................323 12.2. Epistemology...................................................................328 12.3. Ethics...............................................................................331 12.4. Music...............................................................................337 13. A Unified Open-Ended Cosmos............................................ 344 13.1. Loss of Categorical Divisions..........................................344 13.2. Undecidable Dichotomies................................................347 13.3. Conclusions.....................................................................352 Index 361
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| adam_txt |
Contents (Concise) Introduction. 1 I. Background and History. 9 1. A Science Discovered Late.11 1.1. Linear Perception and Linearization.11 1.2. The Roots of Complexity Research.15 1.3. Contemporary Dynamic Knowledge. 21 II. The Nature of Complex Phenomena.25 2. Characteristics of Complexity.28 2.1. Hallmarks.28 2.2. Bifurcations.45 2.3. Strange Attractors.50 2.4. The Edge of Chaos.60 2.5. Unique Responses to External Force. 63 3. Sources of Complexity. 71 3.1. Disturbance of Periodicity. 71 3.2. Destabilizing Feedback. 75 3.3. Energy Transfer from Micro- to Macro-Scale.78 3.4. Fractal Geometry. 88 III. Common Features of Complex
Occurrences. 117 4. Complexity and the Progression of Time. 120 4.1. Parameter Time. 122 4.2. Coordinate Time. 122 4.3. Operator Time. 126
vi Contents (Concise) 5. Depiction of Complexity in Conceptual Space. 131 5.1. Abstract Spaces. 131 5.2. State Space. 136 5.3. Phase Space. 137 5.4. Event Space. 140 5.5. The Multiplicative Ergodic Theorem in Various Spaces . 141 6. Depiction of Complexity on Adaptive Landscapes. 146 6.1. Basic Rules for Movements across the Landscape. 146 6.2. Mathematical Models. 148 6.3. Plasticity of the Landscape. 153 7. Depiction of Complexity in Harmonics. 156 7.1. Wave Relations. 158 7.2. Fourier Series. 163 7.3. Wavelet Analysis. 171 7.4 Autocorrelation.172 8. Common Measures of Complexity. 175 8.1. Dimensionality in Conceptual Space.179 8.2. Information Evolution. 184 8.3. Entropy. 190
IV. Analytics of Complexity. 199 9. Algorithms. 203 9.1. Differential Equations or Difference Equations. 203 9.2. Integration Methods. 209 9.3. Matrix Calculations. 211 9.4. Probabilistic Approaches. 214 9.5. Geometry in Abstract Space. 231 9.6. Comparison to Surrogate Data. 237 10. Visualization. 242 10.1. Time Series. 242 10.2. Bifurcation Diagrams. 243 10.3. Maps.245 10.4. Reduction of Dimensions. 251
How Complexity Shapes the World vii V. Applications.259 11. Complex Phenomena in the World. 264 11.1. Motion and Progression.264 11.2. Nature.274 11.3. Networks.292 11.4. Economy. 312 12. Complexity in the Human Mind.322 12.1. Self-Reflexive Brain.323 12.2. Epistemology.328 12.3. Ethics.331 12.4. Music.337 13. A Unified Open-Ended Cosmos. 344 13.1. Loss of Categorical Divisions.344 13.2. Undecidable Dichotomies.347 13.3. Conclusions.352 Index 361 |
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| spelling | Weber, Georg F. Verfasser (DE-588)139449221 aut How complexity shapes the world by Georg Franz Weber First published Newcastle-upon-Tyne Cambridge Scholars Publisher 2021 xii, 376 Seiten, 6 ungezählte Seiten Tafeln Illustrationen, Diagramme (teilweise farbig) 21 cm txt rdacontent n rdamedia nc rdacarrier Komplexität (DE-588)4135369-9 gnd rswk-swf Phänomenologie (DE-588)4045660-2 gnd rswk-swf Complexity (Philosophy) Komplexität (DE-588)4135369-9 s DE-604 Phänomenologie (DE-588)4045660-2 s Erscheint auch als Online-Ausgabe 9781527573987 Digitalisierung BSB München - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032926112&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weber, Georg F. How complexity shapes the world Komplexität (DE-588)4135369-9 gnd Phänomenologie (DE-588)4045660-2 gnd |
| subject_GND | (DE-588)4135369-9 (DE-588)4045660-2 |
| title | How complexity shapes the world |
| title_auth | How complexity shapes the world |
| title_exact_search | How complexity shapes the world |
| title_exact_search_txtP | How complexity shapes the world |
| title_full | How complexity shapes the world by Georg Franz Weber |
| title_fullStr | How complexity shapes the world by Georg Franz Weber |
| title_full_unstemmed | How complexity shapes the world by Georg Franz Weber |
| title_short | How complexity shapes the world |
| title_sort | how complexity shapes the world |
| topic | Komplexität (DE-588)4135369-9 gnd Phänomenologie (DE-588)4045660-2 gnd |
| topic_facet | Komplexität Phänomenologie |
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