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Preface; 1. Introduction; 2. Preliminaries in complex analysis; 3. Uniformization and conformal distortion; 4. The measurable Riemann mapping theorem; 5. Holomorphic motions; 6. The Schwarzian derivative and cross-ratio distortion; 7. Appendix: Riemann Surfaces and Teichmuller spaces; Bibliography; Index.
Edson de Faria is a Professor in the Instituto de Matem tica e Estat stica at the Universidade de S o Paulo. Welington de Melo is a Professor in the Instituto de Matem tica Pura e Aplicada in Rio de Janeiro.
'... a successful self-contained exposition of an important part of the theory with indications for further studies and discussion of perspectives, including fundamental open problems.' EMS Newsletter