book chapter · 1992
Geometry in the complex plane
Cited by 1Abstract and details only
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.
Cite this paper
Priestley, H. A. (1992). Geometry in the complex plane. https://doi.org/10.1093/oso/9780198525615.003.0002
Priestley, H. A. “Geometry in the complex plane.” 1992, pp. 12–29, https://doi.org/10.1093/oso/9780198525615.003.0002.
Priestley, H. A. 1992. “Geometry in the complex plane.” https://doi.org/10.1093/oso/9780198525615.003.0002.
Priestley, H.A. (1992) ‘Geometry in the complex plane’. Available at: https://doi.org/10.1093/oso/9780198525615.003.0002.
@incollection{priestley1992geometry,
title = {{Geometry in the complex plane}},
author = {Priestley, H. A.},
pages = {12--29},
year = {1992},
doi = {10.1093/oso/9780198525615.003.0002}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.