Understanding nonlinear dynamics: with 294 illustrations
This book deals with important questions of current interest in the biological sciences such as chaos, fractals, cellular automata, nonlinear dynamics, time series analysis. In addition to dealing with these modern topics, the text also shows applications of the mathematics in traditional settings w...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Springer Science+Business Media, LLC
[1995]
|
| Series: | Texts in applied mathematics
19 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | This book deals with important questions of current interest in the biological sciences such as chaos, fractals, cellular automata, nonlinear dynamics, time series analysis. In addition to dealing with these modern topics, the text also shows applications of the mathematics in traditional settings with analyses of important applications of linear dynamics such as exponential growth and decay, compartmental analysis, diffusion. The book is written at an elementary level, teaching basic techniques in dynamics to an audience that is non-mathematical. The book is based on a course that has been taught to undergraduate biology students. There are a considerable number of examples derived from the experimental literature showing how the mathematical concepts can be translated into analysis of experimental data. The authors include extensive sets of exercises to teach basic mathematical concepts and their applications. There are also computer exercises that guide the student through classic computations. |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | xix, 420 Seiten Illustrationen, Diagramme |
| ISBN: | 0387944230 9780387944234 |
Staff View
MARC
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| 490 | 1 | |a Texts in applied mathematics |v 19 | |
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| 520 | 3 | |a This book deals with important questions of current interest in the biological sciences such as chaos, fractals, cellular automata, nonlinear dynamics, time series analysis. In addition to dealing with these modern topics, the text also shows applications of the mathematics in traditional settings with analyses of important applications of linear dynamics such as exponential growth and decay, compartmental analysis, diffusion. The book is written at an elementary level, teaching basic techniques in dynamics to an audience that is non-mathematical. The book is based on a course that has been taught to undergraduate biology students. There are a considerable number of examples derived from the experimental literature showing how the mathematical concepts can be translated into analysis of experimental data. The authors include extensive sets of exercises to teach basic mathematical concepts and their applications. There are also computer exercises that guide the student through classic computations. | |
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Record in the Search Index
| _version_ | 1818307555585163264 |
|---|---|
| adam_text |
Contents
PREFACE
ABOUT THE AUTHORS
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
xvi
1
Sources and Notes
Exercises
Computer Projects
BOOLEAN NETWORKS AND CELLULAR
AUTOMATA
2.1
2.2
2
3
70
2.3
73
2.4
n
2.5
79
4
88
2.6
91
Sources and Notes
94
Exercises
96
Computer Projects
101
3
105
3.1
106
3.2
109
3.3
111
5
115
3.4
116
6
117
3.5
121
7
126
8
137
Sources and Notes
141
Exercises
142
Computer Projects
143
Contents
4
EQUATIONS
4.1
4.2
9
10
11
4.3
4.4
Differential Equations
4.5
4.6
4.7
12
4.8
Тз
Sources and Notes
Exercises
Computer Projects
5
EQUATIONS
5.1
5.2
5.3
5.4
14
5.5
5.6
Differential Equations
5.7
5.8
Тб
5.9
xviii
5.10
Sources and Notes
Exercises
Computer Projects
6
6.1
6.2
16
6.3
6.4
6.5
17
6.6
18
6.7
19
6.8
6.9
Sources and Notes
Exercises
Computer Projects
APPENDIX A A MULTI-FUNCTIONAL APPENDIX
A.] The Straight Line
A.2 The Quadratic Function
A.3 The Cubic and Higher-Order Polynomials
A.4 The Exponential Function
A.
A.6 The Sine and Cosine Functions
A.7 The Gaussian (or "Normal") Distribution
A.8 The Ellipse
A.9 The Hyperbola
Exercises
Contents
APPENDIX
NOTATION
SOLUTIONS TO SELECTED EXERCISES
BIBLIOGRAPHY
INDEX |
| any_adam_object | 1 |
| author | Kaplan, Daniel T. 1959- Glass, Leon 1943- |
| author_GND | (DE-588)17165496X (DE-588)172099137 |
| author_facet | Kaplan, Daniel T. 1959- Glass, Leon 1943- |
| author_role | aut aut |
| author_sort | Kaplan, Daniel T. 1959- |
| author_variant | d t k dt dtk l g lg |
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| bvnumber | BV010301554 |
| callnumber-first | Q - Science |
| callnumber-label | QA845 |
| callnumber-raw | QA845 |
| callnumber-search | QA845 |
| callnumber-sort | QA 3845 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | CC 2600 SK 950 UG 3900 |
| classification_tum | MAT 354f MAT 344f |
| ctrlnum | (OCoLC)31435571 (DE-599)BVBBV010301554 |
| dewey-full | 003/.85 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003/.85 |
| dewey-search | 003/.85 |
| dewey-sort | 13 285 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Physik Informatik Mathematik Philosophie |
| format | Book |
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| isbn | 0387944230 9780387944234 |
| language | English |
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| spelling | Kaplan, Daniel T. 1959- Verfasser (DE-588)17165496X aut Understanding nonlinear dynamics with 294 illustrations Daniel Kaplan, Leon Glass New York Springer Science+Business Media, LLC [1995] xix, 420 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Texts in applied mathematics 19 Hier auch später erschienene, unveränderte Nachdrucke This book deals with important questions of current interest in the biological sciences such as chaos, fractals, cellular automata, nonlinear dynamics, time series analysis. In addition to dealing with these modern topics, the text also shows applications of the mathematics in traditional settings with analyses of important applications of linear dynamics such as exponential growth and decay, compartmental analysis, diffusion. The book is written at an elementary level, teaching basic techniques in dynamics to an audience that is non-mathematical. The book is based on a course that has been taught to undergraduate biology students. There are a considerable number of examples derived from the experimental literature showing how the mathematical concepts can be translated into analysis of experimental data. The authors include extensive sets of exercises to teach basic mathematical concepts and their applications. There are also computer exercises that guide the student through classic computations. Niet-lineaire dynamica gtt Dynamics Nonlinear theories Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Nichtlineares dynamisches System (DE-588)4126142-2 s DE-604 Nichtlineare Dynamik (DE-588)4126141-0 s 2\p DE-604 Glass, Leon 1943- Verfasser (DE-588)172099137 aut Texts in applied mathematics 19 (DE-604)BV002476038 19 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006853964&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kaplan, Daniel T. 1959- Glass, Leon 1943- Understanding nonlinear dynamics with 294 illustrations Texts in applied mathematics Niet-lineaire dynamica gtt Dynamics Nonlinear theories Nichtlineare Dynamik (DE-588)4126141-0 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd |
| subject_GND | (DE-588)4126141-0 (DE-588)4126142-2 (DE-588)4143389-0 |
| title | Understanding nonlinear dynamics with 294 illustrations |
| title_auth | Understanding nonlinear dynamics with 294 illustrations |
| title_exact_search | Understanding nonlinear dynamics with 294 illustrations |
| title_full | Understanding nonlinear dynamics with 294 illustrations Daniel Kaplan, Leon Glass |
| title_fullStr | Understanding nonlinear dynamics with 294 illustrations Daniel Kaplan, Leon Glass |
| title_full_unstemmed | Understanding nonlinear dynamics with 294 illustrations Daniel Kaplan, Leon Glass |
| title_short | Understanding nonlinear dynamics |
| title_sort | understanding nonlinear dynamics with 294 illustrations |
| title_sub | with 294 illustrations |
| topic | Niet-lineaire dynamica gtt Dynamics Nonlinear theories Nichtlineare Dynamik (DE-588)4126141-0 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd |
| topic_facet | Niet-lineaire dynamica Dynamics Nonlinear theories Nichtlineare Dynamik Nichtlineares dynamisches System Aufgabensammlung |
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