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Dynamics in One Complex Variable. (AM-160) : (AM-160) - Third Edition /
This volume 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. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form...
| Autor principal: | |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2006.
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| Edición: | 3rd ed. |
| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 020 | |a 9781400835539 | ||
| 020 | |z 9780691124872 | ||
| 020 | |z 9780691124889 | ||
| 040 | |a MdBmJHUP |c MdBmJHUP | ||
| 100 | 1 | |a Milnor, John W. |q (John Willard), |d 1931- | |
| 245 | 1 | 0 | |a Dynamics in One Complex Variable. (AM-160) : |b (AM-160) - Third Edition / |c by John Milnor. |
| 250 | |a 3rd ed. | ||
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2006. | |
| 264 | 3 | |a Baltimore, Md. : |b Project MUSE, |c 0000 | |
| 264 | 4 | |c ©2006. | |
| 300 | |a 1 online resource: |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Annals of mathematics studies ; |v no. 160 | |
| 505 | 0 | |a Riemann surfaces -- Iterated holomorphic maps -- Local fixed point theory -- Periodic points: global theory -- Structure of the Fatou set -- Using the Fatou set to study the Julia set. | |
| 520 | |a This volume 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. This subject is large and rapidly growing. These lectures are intended to introduce 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. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattes map has been made more inclusive, and the ecalle-Voronin theory of parabolic points is described. The residu iteratif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field. | ||
| 546 | |a In English. | ||
| 588 | |a Description based on print version record. | ||
| 650 | 7 | |a Holomorphe Abbildung |2 gnd | |
| 650 | 7 | |a Riemannsche Fläche |2 gnd | |
| 650 | 7 | |a Fatou-Menge |2 gnd | |
| 650 | 7 | |a Julia-Menge |2 gnd | |
| 650 | 7 | |a Fixpunkttheorie |2 gnd | |
| 650 | 7 | |a Iterierte Abbildung |2 gnd | |
| 650 | 7 | |a Riemann surfaces. |2 fast |0 (OCoLC)fst01097801 | |
| 650 | 7 | |a Holomorphic mappings. |2 fast |0 (OCoLC)fst00958954 | |
| 650 | 7 | |a Functions of complex variables. |2 fast |0 (OCoLC)fst00936116 | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Complex Analysis. |2 bisacsh | |
| 650 | 6 | |a Surfaces de Riemann. | |
| 650 | 6 | |a Applications holomorphes. | |
| 650 | 6 | |a Fonctions d'une variable complexe. | |
| 650 | 0 | |a Riemann surfaces. | |
| 650 | 0 | |a Holomorphic mappings. | |
| 650 | 0 | |a Functions of complex variables. | |
| 655 | 7 | |a Electronic books. |2 local | |
| 710 | 2 | |a Project Muse. |e distributor | |
| 830 | 0 | |a Book collections on Project MUSE. | |
| 856 | 4 | 0 | |z Texto completo |u https://projectmuse.uam.elogim.com/book/30019/ |
| 945 | |a Project MUSE - Custom Collection | ||