Complex Dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1993
|
| Schriftenreihe: | Universitext: Tracts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Complex dynamics is today very much a focus of interest. Though several fine expository articles were available, by P. Blanchard and by M. Yu. Lyubich in particular, until recently there was no single source where students could find the material with proofs. For anyone in our position, gathering and organizing the material required a great deal of work going through preprints and papers and in some cases even finding a proof. We hope that the results of our efforts will be of help to others who plan to learn about complex dynamics and perhaps even lecture. Meanwhile books in the field a. re beginning to appear. The Stony Brook course notes of J. Milnor were particularly welcome and useful. Still we hope that our special emphasis on the analytic side will satisfy a need. This book is a revised and expanded version of notes based on lectures of the first author at UCLA over several \Vinter Quarters, particularly 1986 and 1990. We owe Chris Bishop a great deal of gratitude for supervising the production of course notes, adding new material, and making computer pictures. We have used his computer pictures, and we will also refer to the attractive color graphics in the popular treatment of H. -O. Peitgen and P. Richter. We have benefited from discussions with a number of colleagues, and from suggestions of students in both our courses |
| Beschreibung: | 1 Online-Ressource (IX, 192p. 28 illus) |
| ISBN: | 9781461243649 9780387979427 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-1-4612-4364-9 |
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| spelling | Carleson, Lennart Verfasser aut Complex Dynamics by Lennart Carleson, Theodore W. Gamelin New York, NY Springer New York 1993 1 Online-Ressource (IX, 192p. 28 illus) txt rdacontent c rdamedia cr rdacarrier Universitext: Tracts in Mathematics 0172-5939 Complex dynamics is today very much a focus of interest. Though several fine expository articles were available, by P. Blanchard and by M. Yu. Lyubich in particular, until recently there was no single source where students could find the material with proofs. For anyone in our position, gathering and organizing the material required a great deal of work going through preprints and papers and in some cases even finding a proof. We hope that the results of our efforts will be of help to others who plan to learn about complex dynamics and perhaps even lecture. Meanwhile books in the field a. re beginning to appear. The Stony Brook course notes of J. Milnor were particularly welcome and useful. Still we hope that our special emphasis on the analytic side will satisfy a need. This book is a revised and expanded version of notes based on lectures of the first author at UCLA over several \Vinter Quarters, particularly 1986 and 1990. We owe Chris Bishop a great deal of gratitude for supervising the production of course notes, adding new material, and making computer pictures. We have used his computer pictures, and we will also refer to the attractive color graphics in the popular treatment of H. -O. Peitgen and P. Richter. We have benefited from discussions with a number of colleagues, and from suggestions of students in both our courses Mathematics Global analysis (Mathematics) Analysis Mathematik Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Iteration (DE-588)4123457-1 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Fixpunkttheorie (DE-588)4293945-8 gnd rswk-swf Komplexe Funktion (DE-588)4217733-9 gnd rswk-swf Abbildung Mathematik (DE-588)4000044-8 gnd rswk-swf Komplexe Variable (DE-588)4164905-9 gnd rswk-swf Komplexe Variable (DE-588)4164905-9 s Funktion Mathematik (DE-588)4071510-3 s 1\p DE-604 Komplexe Funktion (DE-588)4217733-9 s Fixpunkttheorie (DE-588)4293945-8 s 2\p DE-604 Analytische Funktion (DE-588)4142348-3 s Iteration (DE-588)4123457-1 s 3\p DE-604 Funktionentheorie (DE-588)4018935-1 s 4\p DE-604 Abbildung Mathematik (DE-588)4000044-8 s 5\p DE-604 Gamelin, Theodore W. Sonstige oth https://doi.org/10.1007/978-1-4612-4364-9 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Carleson, Lennart Complex Dynamics Mathematics Global analysis (Mathematics) Analysis Mathematik Analytische Funktion (DE-588)4142348-3 gnd Iteration (DE-588)4123457-1 gnd Funktionentheorie (DE-588)4018935-1 gnd Funktion Mathematik (DE-588)4071510-3 gnd Fixpunkttheorie (DE-588)4293945-8 gnd Komplexe Funktion (DE-588)4217733-9 gnd Abbildung Mathematik (DE-588)4000044-8 gnd Komplexe Variable (DE-588)4164905-9 gnd |
| subject_GND | (DE-588)4142348-3 (DE-588)4123457-1 (DE-588)4018935-1 (DE-588)4071510-3 (DE-588)4293945-8 (DE-588)4217733-9 (DE-588)4000044-8 (DE-588)4164905-9 |
| title | Complex Dynamics |
| title_auth | Complex Dynamics |
| title_exact_search | Complex Dynamics |
| title_full | Complex Dynamics by Lennart Carleson, Theodore W. Gamelin |
| title_fullStr | Complex Dynamics by Lennart Carleson, Theodore W. Gamelin |
| title_full_unstemmed | Complex Dynamics by Lennart Carleson, Theodore W. Gamelin |
| title_short | Complex Dynamics |
| title_sort | complex dynamics |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Analytische Funktion (DE-588)4142348-3 gnd Iteration (DE-588)4123457-1 gnd Funktionentheorie (DE-588)4018935-1 gnd Funktion Mathematik (DE-588)4071510-3 gnd Fixpunkttheorie (DE-588)4293945-8 gnd Komplexe Funktion (DE-588)4217733-9 gnd Abbildung Mathematik (DE-588)4000044-8 gnd Komplexe Variable (DE-588)4164905-9 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Analytische Funktion Iteration Funktionentheorie Funktion Mathematik Fixpunkttheorie Komplexe Funktion Abbildung Mathematik Komplexe Variable |
| url | https://doi.org/10.1007/978-1-4612-4364-9 |
| work_keys_str_mv | AT carlesonlennart complexdynamics AT gamelintheodorew complexdynamics |