Conformal Mappings

Daniel Alpay ()
Additional contact information
Daniel Alpay: Ben Gurion University of the Negev, Department of Mathematics

Chapter Chapter 10 in A Complex Analysis Problem Book, 2011, pp 421-430 from Springer

Abstract: Abstract Riemann’s mapping theorem asserts that a simply-connected domain different from C is conformally equivalent to the open unit disk: There exists an analytic bijection from O onto D (that the inverse is itself analytic is automatic). In this chapter we closely follow Chapters 5 and 6 of [31] and present some related exercises. The chapter is smaller than the previous ones, but is certainly of key importance in the theory of analytic functions. To quote [128, p. 1], Riemann’s theorem is one of those results one would like to present in a one-semester introductory course in complex variables, but often does not for lack of sufficient time. The proof requires also some topology, which is not always known by students of a first course on complex variables.

Date: 2011
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0078-5_10

Ordering information: This item can be ordered from
http://www.springer.com/9783034800785

DOI: 10.1007/978-3-0348-0078-5_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().