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Cover: 9780521466547 | Potential Theory in the Complex Plane | Thomas Ransford | Taschenbuch
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Potential Theory in the Complex Plane
Taschenbuch von Thomas Ransford
Sprache: Englisch

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Beschreibung
Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analysis. This is reflected in the large number of applications, which include Picard's theorem, the Phragmén-Lindelöf principle, the Radó-Stout theorem, Lindelöf's theory of asymptotic values, the Riemann mapping theorem (including continuity at the boundary), the Koebe one-quarter theorem, Hilbert's lemniscate theorem, and the sharp quantitative form of Runge's theorem. In addition, there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics and gives a flavor of some recent research in the area.
Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analysis. This is reflected in the large number of applications, which include Picard's theorem, the Phragmén-Lindelöf principle, the Radó-Stout theorem, Lindelöf's theory of asymptotic values, the Riemann mapping theorem (including continuity at the boundary), the Koebe one-quarter theorem, Hilbert's lemniscate theorem, and the sharp quantitative form of Runge's theorem. In addition, there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics and gives a flavor of some recent research in the area.
Inhaltsverzeichnis
Preface; A word about notation; 1. Harmonic functions; 2. Subharmonic functions; 3. Potential theory; 4. The Dirichlet problem; 5. Capacity; 6. Applications; Borel measures; Bibliography; Index; Glossary of notation.
Details
Erscheinungsjahr: 2003
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521466547
ISBN-10: 0521466547
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ransford, Thomas
Redaktion: Series, C. M.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 15 mm
Von/Mit: Thomas Ransford
Erscheinungsdatum: 25.09.2003
Gewicht: 0,402 kg
Artikel-ID: 106868141
Inhaltsverzeichnis
Preface; A word about notation; 1. Harmonic functions; 2. Subharmonic functions; 3. Potential theory; 4. The Dirichlet problem; 5. Capacity; 6. Applications; Borel measures; Bibliography; Index; Glossary of notation.
Details
Erscheinungsjahr: 2003
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521466547
ISBN-10: 0521466547
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Ransford, Thomas
Redaktion: Series, C. M.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 15 mm
Von/Mit: Thomas Ransford
Erscheinungsdatum: 25.09.2003
Gewicht: 0,402 kg
Artikel-ID: 106868141
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