Lars V. Ahlfors (1907–1996)

A beautiful exposition of complex analysis. One warning, though: you should have a good understanding of complex algebra and calculus before reading this text, as it is dense.

Indeholder "Acknowledgments", "Chapter I. Differentiable Quasiconformal Mappings", " Introduction", " A. The Problem and Definition of Grötzsch", " B. Solution of Grötzsch's Problem", " C. Composed Mappings", " D. Extremal Length", " E. A Symmetry Principle", " F. Dirichlet Integrals", "Chapter II. The General Definition", " A. The Geometric Approach", " B. The Analytic Approach", "Chapter III. Extremal Geometric Properties", " A. Three Extremal Problems", " B. Elliptic and Modular show more Functions", " C. Mori's Theorem", " D. Quadruplets", "Chapter IV. Boundary Correspondence", " A. The M-condition", " B. The Sufficiency of the M-condition", " C. Quasi-isometry", " D. Quasiconformal Reflection", " E. The Reverse Inequality", "Chapter V. The Mapping Theorem", " A. Two Integral Operators", " B. Solution of the Mapping Problem", " C. Dependence on Parameters", " D. The Calderón-Zygmund Inequality", "Chapter VI. Teichmüller Spaces", " A. Preliminaries", " B. Beltrami Differentials", " C. Delta is Open", " D. The Infinitesimal Approach".

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