Dynamics in One Complex Variable: Introductory Lectures
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. It is based on introductory lectures given by the author at Stony Brook, NY, in the past ten years. The subject is large and r...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Wiesbaden
Vieweg+Teubner Verlag
2000
|
| Edition: | 2nd Edition |
| Subjects: | |
| Online Access: | BTU01 FHI01 Volltext |
| Summary: | This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. It is based on introductory lectures given by the author at Stony Brook, NY, in the past ten years. The subject is large and rapidly growing. These notes are intended to introduce the reader to some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. The exposition is clear and enriched by many beautiful illustrations |
| Physical Description: | 1 Online-Ressource (VII, 257 p) |
| ISBN: | 9783663080923 |
| DOI: | 10.1007/978-3-663-08092-3 |
Staff View
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Record in the Search Index
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| author | Milnor, John |
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| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-663-08092-3 |
| edition | 2nd Edition |
| format | Electronic eBook |
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| indexdate | 2024-07-10T08:10:03Z |
| institution | BVB |
| isbn | 9783663080923 |
| language | English |
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| physical | 1 Online-Ressource (VII, 257 p) |
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| spelling | Milnor, John Verfasser aut Dynamics in One Complex Variable Introductory Lectures by John Milnor 2nd Edition Wiesbaden Vieweg+Teubner Verlag 2000 1 Online-Ressource (VII, 257 p) txt rdacontent c rdamedia cr rdacarrier This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. It is based on introductory lectures given by the author at Stony Brook, NY, in the past ten years. The subject is large and rapidly growing. These notes are intended to introduce the reader to some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. The exposition is clear and enriched by many beautiful illustrations Engineering Engineering, general Fatou-Menge (DE-588)4414549-4 gnd rswk-swf Julia-Menge (DE-588)4431306-8 gnd rswk-swf Fixpunkttheorie (DE-588)4293945-8 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 gnd rswk-swf Iterierte Abbildung (DE-588)4162626-6 gnd rswk-swf Holomorphe Abbildung (DE-588)4160471-4 gnd rswk-swf Iteration (DE-588)4123457-1 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Fraktal (DE-588)4123220-3 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 s Holomorphe Abbildung (DE-588)4160471-4 s Iterierte Abbildung (DE-588)4162626-6 s Fixpunkttheorie (DE-588)4293945-8 s Julia-Menge (DE-588)4431306-8 s Fatou-Menge (DE-588)4414549-4 s 1\p DE-604 Iteration (DE-588)4123457-1 s 2\p DE-604 Fraktal (DE-588)4123220-3 s 3\p DE-604 Funktionentheorie (DE-588)4018935-1 s 4\p DE-604 Erscheint auch als Druck-Ausgabe 9783528131302 https://doi.org/10.1007/978-3-663-08092-3 Verlag URL des Erstveröffentlichers 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Milnor, John Dynamics in One Complex Variable Introductory Lectures Engineering Engineering, general Fatou-Menge (DE-588)4414549-4 gnd Julia-Menge (DE-588)4431306-8 gnd Fixpunkttheorie (DE-588)4293945-8 gnd Riemannsche Fläche (DE-588)4049991-1 gnd Iterierte Abbildung (DE-588)4162626-6 gnd Holomorphe Abbildung (DE-588)4160471-4 gnd Iteration (DE-588)4123457-1 gnd Funktionentheorie (DE-588)4018935-1 gnd Fraktal (DE-588)4123220-3 gnd |
| subject_GND | (DE-588)4414549-4 (DE-588)4431306-8 (DE-588)4293945-8 (DE-588)4049991-1 (DE-588)4162626-6 (DE-588)4160471-4 (DE-588)4123457-1 (DE-588)4018935-1 (DE-588)4123220-3 |
| title | Dynamics in One Complex Variable Introductory Lectures |
| title_auth | Dynamics in One Complex Variable Introductory Lectures |
| title_exact_search | Dynamics in One Complex Variable Introductory Lectures |
| title_full | Dynamics in One Complex Variable Introductory Lectures by John Milnor |
| title_fullStr | Dynamics in One Complex Variable Introductory Lectures by John Milnor |
| title_full_unstemmed | Dynamics in One Complex Variable Introductory Lectures by John Milnor |
| title_short | Dynamics in One Complex Variable |
| title_sort | dynamics in one complex variable introductory lectures |
| title_sub | Introductory Lectures |
| topic | Engineering Engineering, general Fatou-Menge (DE-588)4414549-4 gnd Julia-Menge (DE-588)4431306-8 gnd Fixpunkttheorie (DE-588)4293945-8 gnd Riemannsche Fläche (DE-588)4049991-1 gnd Iterierte Abbildung (DE-588)4162626-6 gnd Holomorphe Abbildung (DE-588)4160471-4 gnd Iteration (DE-588)4123457-1 gnd Funktionentheorie (DE-588)4018935-1 gnd Fraktal (DE-588)4123220-3 gnd |
| topic_facet | Engineering Engineering, general Fatou-Menge Julia-Menge Fixpunkttheorie Riemannsche Fläche Iterierte Abbildung Holomorphe Abbildung Iteration Funktionentheorie Fraktal |
| url | https://doi.org/10.1007/978-3-663-08092-3 |
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