CHAPTER 20: Conformal Mappings

© Takeshi Takahara/Photo Researchers/Getty Images

© Andy Sacks/Getty Images

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 ...

Get Advanced Engineering Mathematics, 6th Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.