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
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
-
9780817643393
0817643397
- Maße
-
24 cm
- Umfang
-
XIII, 314 S.
- Sprache
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Englisch
- Anmerkungen
-
graph. Darst.
Literaturverz. S. 303 - 306
- Klassifikation
-
Mathematik
- Schlagwort
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Geometrische Funktionentheorie
- Ereignis
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Veröffentlichung
- (wo)
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Boston, Basel, Berlin
- (wer)
-
Birkhäuser
- (wann)
-
2006
- Urheber
- Inhaltsverzeichnis
- Rechteinformation
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Letzte Aktualisierung
-
11.03.2025, 12:15 MEZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Krantz, Steven G.
- Birkhäuser
Entstanden
- 2006
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