TRANSFORMASI SCHWARZ-CHRISTOFFEL PADA DOMAIN DEFINISI UPPER HALF PLANE DAN CAKRAM SATUAN

Riemann mapping theorem states that there is an analytic bijective mapping which maps a simply connected region to unit disk. It causes two impacts. First, there is an analytic bijective mapping which maps upper half plane to interior of polygon. Second, there is an analytic bijective mapping which...

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Main Authors: , ERIK MAURTEN FIRDAUS, , Drs. Yusuf, M.A. Math.
格式: Theses and Dissertations NonPeerReviewed
出版: [Yogyakarta] : Universitas Gadjah Mada 2014
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ETD
在線閱讀:https://repository.ugm.ac.id/127684/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=67952
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總結:Riemann mapping theorem states that there is an analytic bijective mapping which maps a simply connected region to unit disk. It causes two impacts. First, there is an analytic bijective mapping which maps upper half plane to interior of polygon. Second, there is an analytic bijective mapping which maps unit disk to interior of polygon. Schwarz-Christoffel mapping fulfills the existence of both of these mapping. In this final project, we explore about Schwarz-Christoffel mapping characteristics such as conformal, well defined, and continuous extension.