Geometric function theory
Complex variables is a precise, elegant, and captivating subject. Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research, including: invariant geometry, the Bergman metric, the automorphism groups of domains, extremal length, harmonic measure, boundary regularity of conformal maps, the inhomogeneous Cauchy-Riemann equations, and the corona problem. The author adroitly weaves these varied topics to reveal a number of delightful interactions. Perhaps more importantly, they are presented with an understanding and explanation of their interrelations with other important parts of mathematics: harmonic analysis, differential geometry, partial differential equations, potential theory, abstract algebra, and invariant theory. Containing an extensive bibliography of both monographs and research papers and a thorough index, the book is methodically designed with individualchapters containing a rich collection of exercises, examples, and illustrations.Seeking to capture the imagination of both advancedundergraduate and graduate students with a basic background in complex analysis,the book impartsa solid educationboth in complex analysis and in how modern mathematics works. TOC:Preface * Invariant Geometry * The Bergman Metric * Automorphism Groups of Domains * Extremal Length * Harmonic Measure * Boundary Regularity of Conformal Maps * The InhomogeneousCauchy-Riemann Equations * The Corona Problem * Bibliography * Index
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
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9780817643393
0817643397
- Dimensions
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24 cm
- Extent
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XIII, 314 S.
- Language
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Englisch
- Notes
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graph. Darst.
Literaturverz. S. 303 - 306
- Classification
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Mathematik
- Keyword
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Geometrische Funktionentheorie
- Event
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Veröffentlichung
- (where)
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Boston, Basel, Berlin
- (who)
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Birkhäuser
- (when)
-
2006
- Creator
- Table of contents
- Rights
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Last update
-
04.03.2028, 12:01 PM CET
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Krantz, Steven G.
- Birkhäuser
Time of origin
- 2006
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