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Conformal Mapping and the Riemann Mapping Theorem

Abstract

Our study of mapping properties in Chapters 3 and 4 was limited because derivatives had not yet been introduced. That remedied, we look anew at some old functions. We shall see that the derivative relates the angle between two curves to the angle between their images. In addition, the derivative will be seen to measure the “distortion” of image curves.

Keywords

Analytic Function Compact Subset Unit Disk Univalent Function Conformal Mapping 
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Copyright information

© Birkhäuser Boston 2006

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