Abstract
Abstract This chapter introduces various curves and regions in the complex plane which occur repeatedly later on, and presents a variety of ways of describing these. One reason that such descriptions are important is that they assist in finding well—behaved mappings of one region of the complex plane onto another—a key technique in the application of complex variable methods to physical problems. We study mappings in Chapter 8 and also in Chapter 23, where we hint at applications. Here we investigate some particular mappings-the Mobius transformations—and their effect on lines and circles. Throughout this chapter we use geometrical ideas wherever possible rather than taking refuge in decompositions into real and imaginary parts.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
