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Boundary Behaviour of Conformal Maps /
There has been a great deal of recent interest in the boundary behaviour of conformal maps of the unit disk onto plane domains. In classical applications of conformal maps, the boundary tended to be smooth. This is not the case in many modern applications (e.g. for Julia sets). The first chapters pr...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1992.
|
| Colección: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ;
299. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Pommerenke, Christian. | |
| 245 | 1 | 0 | |a Boundary Behaviour of Conformal Maps / |c by Christian Pommerenke. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg, |c 1992. | ||
| 300 | |a 1 online resource (ix, 300 pages) | ||
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| 490 | 1 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, |x 0072-7830 ; |v 299 | |
| 520 | |a There has been a great deal of recent interest in the boundary behaviour of conformal maps of the unit disk onto plane domains. In classical applications of conformal maps, the boundary tended to be smooth. This is not the case in many modern applications (e.g. for Julia sets). The first chapters present basic material and are also of interest for people who use conformal mapping as a tool. The later chapters deal in greater detail with classical material and, go into recent developments (e.g. by Makarov). The reader is assumed to know standard complex and real analysis. The subject of the book is developed from scratch except in a few places (e.g. quasiconformal maps) where there exist other very goodbooks: in such cases Pommerenke's emphasis is on giving additional information. There are over two hundred exercises most of which are easy and meant to test the reader's understanding of the text. Each chapter begins with an overview stating the main results informally. | ||
| 505 | 0 | |a 1. Some Basic Facts -- 2. Continuity and Prime Ends -- 3. Smoothness and Corners -- 4. Distortion -- 5. Quasidisks -- 6. Linear Measure -- 7. Smirnov and Lavrentiev Domains -- 8. Integral Means -- 9. Curve Families and Capacity -- 10. Hausdorff Measure -- 11. Local Boundary Behaviour -- References -- Author Index. | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 2 | |a Mathematics | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 6 | |a Fonctions d'une variable complexe. | |
| 650 | 7 | |a Functions of complex variables |2 fast | |
| 650 | 7 | |a Mathematics |2 fast | |
| 758 | |i has work: |a Boundary Behaviour of Conformal Maps (Text) |1 https://id.oclc.org/worldcat/entity/E39PCXFwJJbjqFyg6dMtcxfYHd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9783642081293 |
| 830 | 0 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; |v 299. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3097408 |z Texto completo |
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