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5 Analytic Functions as Mappings

5.1 Mappings
5.2 Linear Transformation
5.3 The Identity Mapping
5.4 The Mapping \(w = z^c\)
5.5 The Mapping \(w = z^{1/2}\)
5.6 The Inversion Mapping \(w = \dfrac {1}{z}\)
5.7 The Point at Infinity
5.8 Fixed Points
5.9 Paths and Smooth Paths
5.10 Linear Fractional Transformations
5.10.1 Mapping Derived from the Cross-Ratio
5.11 Practice Problems

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