Geometric Function Theory

Geometric Function Theory

A Second Course in Complex Analysis

Carroll, Tom

Springer International Publishing AG

12/2024

353

Mole

Inglês

9783031737268

15 a 20 dias

Descrição não disponível.
1 Introduction.- 2 The Complex Plane - Preparatory Topics.- 3 The Riemann Sphere.- 4 The Hyperbolic Disk.- 5 Normal Families and Value Distribution.- 6 Simply Connected Domains and the Riemann Mapping Theorem.- 7 Runge's Theorem and Further Characterisations of Simply Connected Domains.- 8 Univalent Functions - the Basics.- 9 Caratheodory Convergence of Domains and Hyperbolic Geodesics.- 10 Uniformisation of Planar Domains.
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conformal mapping;hyperbolic geometry;hyperbolic geodesic;Riemann sphere;uniformization of planar domains;Caratheodory convergence;Runge's Theorem;Schwarz-Pick ;normal families;Picard Theorem;univalent functions;meromorphic function