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In this chapter we will study the mapping properties of the elementary functions introduced in Chapter 17 and develop two new classes of special mappings called the linear fractional transformations and the Schwarz–Christoffel transformations.
In earlier chapters we used Fourier series and integral transforms to solve boundary-value problems involving Laplace’s equation. Conformal mapping methods discussed in this chapter can be used to transfer known solutions to Laplace’s equation from one region to another. In addition, fluid flows ...