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Synopsis
This textbook provides a second course in complex analysis with a focus on geometric aspects. It covers topics such as the spherical geometry of the extended complex plane, the hyperbolic geometry of the Poincaré disk, conformal mappings, the Riemann Mapping Theorem and uniformisation of planar domains, characterisations of simply connected domains, the convergence of Riemann maps in terms of Carathéodory convergence of the image domains, normal families and Picard's theorems on value distribution, as well as the fundamentals of univalent function theory. Throughout the text, the synergy between analysis and geometry is emphasised, with proofs chosen for their directness.
The textbook is self-contained, requiring only a first undergraduate course in complex analysis. The minimal topology needed is introduced as necessary. While primarily aimed at upper-level undergraduates, the book also serves as a concise reference for graduates working in complex analysis.
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À propos de l?auteur
Tom Carroll is Senior Lecturer in Mathematics at University College Cork. He is the author of over 40 research papers, primarily in the general areas of functions of a complex variable, probability theory and stochastic processes, and partial differential equations. Tom has served as President of the Irish Mathematical Society (2021-2022) and has recently been appointed editor of the Society's Bulletin.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Geometric Function Theory
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Springer Verlag GmbH, 2024
ISBN 10 : 3031737261
ISBN 13 : 9783031737268
Neuf
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Vendeur : moluna, Greven, Allemagne
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Geometric Function Theory : A Second Course in Complex Analysis
Edité par
Springer Nature Switzerland, Springer Nature Switzerland, 2024
ISBN 10 : 3031737261
ISBN 13 : 9783031737268
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook provides a second course in complex analysis with a focus on geometric aspects. It covers topics such as the spherical geometry of the extended complex plane, the hyperbolic geometry of the Poincaré disk, conformal mappings, the Riemann Mapping Theorem and uniformisation of planar domains, characterisations of simply connected domains, the convergence of Riemann maps in terms of Carathéodory convergence of the image domains, normal families and Picard's theorems on value distribution, as well as the fundamentals of univalent function theory. Throughout the text, the synergy between analysis and geometry is emphasised, with proofs chosen for their directness.The textbook is self-contained, requiring only a first undergraduate course in complex analysis. The minimal topology needed is introduced as necessary. While primarily aimed at upper-level undergraduates, the book also serves as a concise reference for graduates working in complex analysis. N° de réf. du vendeur 9783031737268
Quantité disponible : 1 disponible(s)
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Geometric Function Theory
Edité par
Springer, Berlin, Springer Nature Switzerland, Springer, 2024
ISBN 10 : 3031737261
ISBN 13 : 9783031737268
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This textbook provides a second course in complex analysis with a focus on geometric aspects. It covers topics such as the spherical geometry of the extended complex plane, the hyperbolic geometry of the Poincaré disk, conformal mappings, the Riemann Mapping Theorem and uniformisation of planar domains, characterisations of simply connected domains, the convergence of Riemann maps in terms of Carathéodory convergence of the image domains, normal families and Picard's theorems on value distribution, as well as the fundamentals of univalent function theory. Throughout the text, the synergy between analysis and geometry is emphasised, with proofs chosen for their directness.The textbook is self-contained, requiring only a first undergraduate course in complex analysis. The minimal topology needed is introduced as necessary. While primarily aimed at upper-level undergraduates, the book also serves as a concise reference for graduates working in complex analysis. 353 pp. Englisch. N° de réf. du vendeur 9783031737268
Quantité disponible : 2 disponible(s)
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Geometric Function Theory
ISBN 10 : 3031737261
ISBN 13 : 9783031737268
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This textbook provides a second course in complex analysis with a focus on geometric aspects. It covers topics such as the spherical geometry of the extended complex plane, the hyperbolic geometry of the Poincaré disk, conformal mappings, the Riemann Mapping Theorem and uniformisation of planar domains, characterisations of simply connected domains, the convergence of Riemann maps in terms of Carathéodory convergence of the image domains, normal families and Picard's theorems on value distribution, as well as the fundamentals of univalent function theory. Throughout the text, the synergy between analysis and geometry is emphasised, with proofs chosen for their directness.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 368 pp. Englisch. N° de réf. du vendeur 9783031737268
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Geometric Function Theory: A Second Course in Complex Analysis
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. N° de réf. du vendeur 26403522411
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Geometric Function Theory: A Second Course in Complex Analysis
impression à la demandeVendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. Print on Demand. N° de réf. du vendeur 410713268
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Geometric Function Theory: A Second Course in Complex Analysis
Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. N° de réf. du vendeur 18403522401
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Geometric Function Theory: A Second Course in Complex Analysis (Springer Undergraduate Mathematics Series)
Vendeur : Mispah books, Redhill, SURRE, Royaume-Uni
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paperback. Etat : New. New. book. N° de réf. du vendeur ERICA82930317372616
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