Moduli of Families of Curves for Conformal and Quasiconformal Mappings

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Moduli of Families of Curves for Conformal and Quasiconformal Mappings Description

1. Introduction 2. Moduli of Families of Curves and Extremal Partitions 2.1 Simple definition and properties of the modulus 2.1.1 Definition 2.1.2 Properties 2.1.3 Examples 2.1.4 Grötzsch lemmas 2.1.5 Exercises 2.2 Reduced moduli and capacity 2.2.1 Reduced modulus 2.2.2 Capacity and the transfinite diameter 2.2.3 Digons, triangles and their reduced moduli 2.3 Elliptic functions and integrals 2.3.1 Elliptic functions 2.3.2 Elliptic integrals and Jacobi's functions 2.4 Some frequently used moduli [Read more...]

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