Discrete dynamical modeling:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY u.a.
Oxford Univ. Press
1993
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 428 S. graph. Darst. |
| ISBN: | 0195084381 |
Staff View
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| 245 | 1 | 0 | |a Discrete dynamical modeling |c James T. Sandefur |
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Record in the Search Index
| _version_ | 1804124210729058304 |
|---|---|
| adam_text | CONTENTS
Chapter I. Introduction to dynamic modeling 1
1.1. Modeling drugs in the bloodstream 1
1.2. Jargon 11
1.3. Equilibrium values 17
1.4. Dynamic economic applications 34
1.5. Applications of dynamics using spreadsheets 46
Chapter 2. First order linear dynamical systems 55
2.1. Solutions to linear dynamical systems with
applications 55
2.2. Solutions to an affine dynamical system 68
2.3. An introduction to genetics 71
2.4. Solution to affine dynamical systems with
applications 83
2.5. Applications to finance 95
Chapter 3. Probability and dynamical systems 105
3.1. The multiplication and addition principles 105
3.2. Introduction to probability 120
3.3. Multistage tasks 131
3.4. An introduction to Markov chains 143
xtf Contents
Chapter 4. Nonhomogeneous dynamical systems 149
4.1. Exponential terms 149
4.2. Exponential terms, a special case 163
4.3. Fractal geometry 167
4.4. Polynomial terms 176
4.5. Polynomial terms, a special case 182
Chapter 5. Higher order linear dynamical systems 189
5.1. An introduction to second order linear equations 189
5.2. Multiple roots 199
5.3. The gambler s ruin 203
5.4. Sex linked genes 209
5.5. Stability for second order affine equations 213
5.6. Modeling a vibrating spring 223
5.7. Second order nonhomogeneous equations 231
5.8. Gambler s ruin revisited 241
5.9. A model of a national economy 245
5.10. Dynamical systems with order greater than two 255
5.11. Solutions involving trigonometric functions 262
Chapter 6. Introduction to nonlinear dynamical systems 269
6.1. A model of population growth 269
6.2. Using linearization to study stability 279
6.3. Harvesting strategies 291
Chapter 7. Vectors and matrices 301
7.1. Introduction to vectors and matrices 301
7.2. Rules of linear algebra 309
7.3. Gauss Jordan elimination 312
7.4. Determinants 321
7.5. Inverse matrices 325
Chapter 8. Dynamical systems of several equations 333
8.1. Introduction to dynamical systems of several
equations 333
8.2. Characteristic values 335
8.3. First order dynamical systems of several equations 349
8.4. Regular Markov chains 356
8.5. Absorbing Markov chains 368
Contents xiii
8.6. Applications of absorbing Markov chains 379
8.7. Long term behavior of systems 386
8.8. The heat equation 396
Bibliography 405
Answers 407
Index 425
|
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| indexdate | 2024-07-09T17:42:03Z |
| institution | BVB |
| isbn | 0195084381 |
| language | English |
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| physical | XIII, 428 S. graph. Darst. |
| publishDate | 1993 |
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| publisher | Oxford Univ. Press |
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| spelling | Sandefur, James T. Verfasser aut Discrete dynamical modeling James T. Sandefur New York, NY u.a. Oxford Univ. Press 1993 XIII, 428 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dynamische systemen gtt Wiskundige modellen gtt Mathematisches Modell Differentiable dynamical systems -- Mathematical models Diskrete Mathematik (DE-588)4129143-8 gnd rswk-swf Diskretes System (DE-588)4401225-1 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Diskrete Mathematik (DE-588)4129143-8 s DE-604 Diskretes System (DE-588)4401225-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006524262&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sandefur, James T. Discrete dynamical modeling Dynamische systemen gtt Wiskundige modellen gtt Mathematisches Modell Differentiable dynamical systems -- Mathematical models Diskrete Mathematik (DE-588)4129143-8 gnd Diskretes System (DE-588)4401225-1 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4129143-8 (DE-588)4401225-1 (DE-588)4013396-5 |
| title | Discrete dynamical modeling |
| title_auth | Discrete dynamical modeling |
| title_exact_search | Discrete dynamical modeling |
| title_full | Discrete dynamical modeling James T. Sandefur |
| title_fullStr | Discrete dynamical modeling James T. Sandefur |
| title_full_unstemmed | Discrete dynamical modeling James T. Sandefur |
| title_short | Discrete dynamical modeling |
| title_sort | discrete dynamical modeling |
| topic | Dynamische systemen gtt Wiskundige modellen gtt Mathematisches Modell Differentiable dynamical systems -- Mathematical models Diskrete Mathematik (DE-588)4129143-8 gnd Diskretes System (DE-588)4401225-1 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Dynamische systemen Wiskundige modellen Mathematisches Modell Differentiable dynamical systems -- Mathematical models Diskrete Mathematik Diskretes System Dynamisches System |
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