A First Course in Discrete Dynamical Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1994
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | An increasing number of colleges and universities are offering undergradu ate courses in discrete dynamical systems. This growth is due in part to the proliferation of inexpensive and powerful computers, which have provided access to the interesting and complex phenomena that are at the heart of dynamics. A second reason for introducing dynamics into the undergradu ate curriculum is that it serves as a bridge from concrete, often algorithmic calculus courses, to the more abstract concepts of analysis and topology. Discrete dynamical systems are essentially iterated functions, and if there is one thing computers do well, it is iteration. It is now possible for anyone with access to a personal computer to generate beautiful images whose roots lie in discrete dynamical systems. The mathematics behind the pictures are beautiful in their own right and are the subject of this text. Every effort has been made to exploit this opportunity to illustrate the beauty and power of mathematics in an interesting and engaging way. This work is first and foremost a mathematics book. Individuals who read it and do the exercises will gain not only an understanding of dynamical systems, but an increased understanding of the related areas in analysis as well |
| Beschreibung: | 1 Online-Ressource (XII, 214p. 55 illus) |
| ISBN: | 9781468402223 9780387942087 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-1-4684-0222-3 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Holmgren, Richard A. |
| author_facet | Holmgren, Richard A. |
| author_role | aut |
| author_sort | Holmgren, Richard A. |
| author_variant | r a h ra rah |
| building | Verbundindex |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-0222-3 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781468402223 9780387942087 |
| issn | 0172-5939 |
| language | English |
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| spelling | Holmgren, Richard A. Verfasser aut A First Course in Discrete Dynamical Systems by Richard A. Holmgren New York, NY Springer US 1994 1 Online-Ressource (XII, 214p. 55 illus) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 An increasing number of colleges and universities are offering undergradu ate courses in discrete dynamical systems. This growth is due in part to the proliferation of inexpensive and powerful computers, which have provided access to the interesting and complex phenomena that are at the heart of dynamics. A second reason for introducing dynamics into the undergradu ate curriculum is that it serves as a bridge from concrete, often algorithmic calculus courses, to the more abstract concepts of analysis and topology. Discrete dynamical systems are essentially iterated functions, and if there is one thing computers do well, it is iteration. It is now possible for anyone with access to a personal computer to generate beautiful images whose roots lie in discrete dynamical systems. The mathematics behind the pictures are beautiful in their own right and are the subject of this text. Every effort has been made to exploit this opportunity to illustrate the beauty and power of mathematics in an interesting and engaging way. This work is first and foremost a mathematics book. Individuals who read it and do the exercises will gain not only an understanding of dynamical systems, but an increased understanding of the related areas in analysis as well Mathematics Mathematics, general Mathematik Iterierte Abbildung (DE-588)4162626-6 gnd rswk-swf Rekursionsformel (DE-588)4177668-9 gnd rswk-swf Diskretes System (DE-588)4401225-1 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Iterierte Abbildung (DE-588)4162626-6 s Rekursionsformel (DE-588)4177668-9 s 1\p DE-604 Diskretes System (DE-588)4401225-1 s 2\p DE-604 Differenzierbares dynamisches System (DE-588)4137931-7 s Verzweigung Mathematik (DE-588)4078889-1 s 3\p DE-604 https://doi.org/10.1007/978-1-4684-0222-3 Verlag Volltext 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Holmgren, Richard A. A First Course in Discrete Dynamical Systems Mathematics Mathematics, general Mathematik Iterierte Abbildung (DE-588)4162626-6 gnd Rekursionsformel (DE-588)4177668-9 gnd Diskretes System (DE-588)4401225-1 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| subject_GND | (DE-588)4162626-6 (DE-588)4177668-9 (DE-588)4401225-1 (DE-588)4078889-1 (DE-588)4013396-5 (DE-588)4137931-7 |
| title | A First Course in Discrete Dynamical Systems |
| title_auth | A First Course in Discrete Dynamical Systems |
| title_exact_search | A First Course in Discrete Dynamical Systems |
| title_full | A First Course in Discrete Dynamical Systems by Richard A. Holmgren |
| title_fullStr | A First Course in Discrete Dynamical Systems by Richard A. Holmgren |
| title_full_unstemmed | A First Course in Discrete Dynamical Systems by Richard A. Holmgren |
| title_short | A First Course in Discrete Dynamical Systems |
| title_sort | a first course in discrete dynamical systems |
| topic | Mathematics Mathematics, general Mathematik Iterierte Abbildung (DE-588)4162626-6 gnd Rekursionsformel (DE-588)4177668-9 gnd Diskretes System (DE-588)4401225-1 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Iterierte Abbildung Rekursionsformel Diskretes System Verzweigung Mathematik Dynamisches System Differenzierbares dynamisches System |
| url | https://doi.org/10.1007/978-1-4684-0222-3 |
| work_keys_str_mv | AT holmgrenricharda afirstcourseindiscretedynamicalsystems |