Dynamical Systems: An Introduction with Applications in Economics and Biology
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1994
|
| Ausgabe: | Second Revised and Enlarged Edition |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The favourable reception of the first edition and the encouragement received from many readers have prompted the author to bring out this new edition. This provides the opportunity for correcting a number of errors, typographical and others, contained in the first edition and making further improvements. This second edition has a new chapter on simplifying Dynamical Systems covering Poincare map, Floquet theory, Centre Manifold Theorems, normal forms of dynamical systems, elimination of passive coordinates and Liapunov-Schmidt reduction theory. It would provide a gradual transition to the study of Bifurcation, Chaos and Catastrophe in Chapter 10. Apart from this, most others - in fact all except the first three and last chapters - have been revised and enlarged to bring in some new materials, elaborate some others, especially those sections which many readers felt were rather too concise in the first edition, by providing more explanation, examples and applications. Chapter 11 provides some good examples of this. Another example may be found in Chapter 4 where the review of Linear Algebra has been enlarged to incorporate further materials needed in this edition, for example the last section on idempotent matrices and projection would prove very useful to follow Liapunov-Schmidt reduction theory presented in Chapter 9 |
| Beschreibung: | 1 Online-Ressource (XVIII, 314 p) |
| ISBN: | 9783642787935 9783540576617 |
| DOI: | 10.1007/978-3-642-78793-5 |
Internformat
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| 245 | 1 | 0 | |a Dynamical Systems |b An Introduction with Applications in Economics and Biology |c by Pierre N. V. Tu |
| 250 | |a Second Revised and Enlarged Edition | ||
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1994 | |
| 300 | |a 1 Online-Ressource (XVIII, 314 p) | ||
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| 500 | |a The favourable reception of the first edition and the encouragement received from many readers have prompted the author to bring out this new edition. This provides the opportunity for correcting a number of errors, typographical and others, contained in the first edition and making further improvements. This second edition has a new chapter on simplifying Dynamical Systems covering Poincare map, Floquet theory, Centre Manifold Theorems, normal forms of dynamical systems, elimination of passive coordinates and Liapunov-Schmidt reduction theory. It would provide a gradual transition to the study of Bifurcation, Chaos and Catastrophe in Chapter 10. Apart from this, most others - in fact all except the first three and last chapters - have been revised and enlarged to bring in some new materials, elaborate some others, especially those sections which many readers felt were rather too concise in the first edition, by providing more explanation, examples and applications. Chapter 11 provides some good examples of this. Another example may be found in Chapter 4 where the review of Linear Algebra has been enlarged to incorporate further materials needed in this edition, for example the last section on idempotent matrices and projection would prove very useful to follow Liapunov-Schmidt reduction theory presented in Chapter 9 | ||
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Systems theory | |
| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 4 | |a Statistics | |
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Datensatz im Suchindex
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| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
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| discipline | Physik |
| doi_str_mv | 10.1007/978-3-642-78793-5 |
| edition | Second Revised and Enlarged Edition |
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| spelling | Tu, Pierre N. Verfasser (DE-588)170559998 aut Dynamical Systems An Introduction with Applications in Economics and Biology by Pierre N. V. Tu Second Revised and Enlarged Edition Berlin, Heidelberg Springer Berlin Heidelberg 1994 1 Online-Ressource (XVIII, 314 p) txt rdacontent c rdamedia cr rdacarrier The favourable reception of the first edition and the encouragement received from many readers have prompted the author to bring out this new edition. This provides the opportunity for correcting a number of errors, typographical and others, contained in the first edition and making further improvements. This second edition has a new chapter on simplifying Dynamical Systems covering Poincare map, Floquet theory, Centre Manifold Theorems, normal forms of dynamical systems, elimination of passive coordinates and Liapunov-Schmidt reduction theory. It would provide a gradual transition to the study of Bifurcation, Chaos and Catastrophe in Chapter 10. Apart from this, most others - in fact all except the first three and last chapters - have been revised and enlarged to bring in some new materials, elaborate some others, especially those sections which many readers felt were rather too concise in the first edition, by providing more explanation, examples and applications. Chapter 11 provides some good examples of this. Another example may be found in Chapter 4 where the review of Linear Algebra has been enlarged to incorporate further materials needed in this edition, for example the last section on idempotent matrices and projection would prove very useful to follow Liapunov-Schmidt reduction theory presented in Chapter 9 Physics Systems theory Distribution (Probability theory) Statistics Economics Statistical Physics, Dynamical Systems and Complexity Probability Theory and Stochastic Processes Systems Theory, Control Economic Theory Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Statistik Wirtschaft Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 https://doi.org/10.1007/978-3-642-78793-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tu, Pierre N. Dynamical Systems An Introduction with Applications in Economics and Biology Physics Systems theory Distribution (Probability theory) Statistics Economics Statistical Physics, Dynamical Systems and Complexity Probability Theory and Stochastic Processes Systems Theory, Control Economic Theory Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Statistik Wirtschaft Mathematisches Modell (DE-588)4114528-8 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4013396-5 |
| title | Dynamical Systems An Introduction with Applications in Economics and Biology |
| title_auth | Dynamical Systems An Introduction with Applications in Economics and Biology |
| title_exact_search | Dynamical Systems An Introduction with Applications in Economics and Biology |
| title_full | Dynamical Systems An Introduction with Applications in Economics and Biology by Pierre N. V. Tu |
| title_fullStr | Dynamical Systems An Introduction with Applications in Economics and Biology by Pierre N. V. Tu |
| title_full_unstemmed | Dynamical Systems An Introduction with Applications in Economics and Biology by Pierre N. V. Tu |
| title_short | Dynamical Systems |
| title_sort | dynamical systems an introduction with applications in economics and biology |
| title_sub | An Introduction with Applications in Economics and Biology |
| topic | Physics Systems theory Distribution (Probability theory) Statistics Economics Statistical Physics, Dynamical Systems and Complexity Probability Theory and Stochastic Processes Systems Theory, Control Economic Theory Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Statistik Wirtschaft Mathematisches Modell (DE-588)4114528-8 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Physics Systems theory Distribution (Probability theory) Statistics Economics Statistical Physics, Dynamical Systems and Complexity Probability Theory and Stochastic Processes Systems Theory, Control Economic Theory Mathematical and Computational Biology Statistics for Life Sciences, Medicine, Health Sciences Statistik Wirtschaft Mathematisches Modell Dynamisches System |
| url | https://doi.org/10.1007/978-3-642-78793-5 |
| work_keys_str_mv | AT tupierren dynamicalsystemsanintroductionwithapplicationsineconomicsandbiology |