Kompleksna ravnina in dvodimenzionalne geometrije

Povzetek

Ključne besede

Podatki

Jezik:	Slovenski jezik
Leto izida:	2008
Tipologija:	2.11 - Diplomsko delo
Organizacija:	UL FRI - Fakulteta za računalništvo in informatiko
Založnik:	[C. Zakrajšek]
UDK:	004(043.2)
COBISS:	6746196
Št. ogledov:	1051
Št. prenosov:	225
Ocena:	0 (0 glasov)
Metapodatki:

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Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	[ǂThe ǂcomplex plane and two-dimensional geometries]
Sekundarni povzetek:	This work comprises description of applications of complex numbers in two-dimensional geometry and demonstration development with programming tool Mathematica. In the first part, consisting of chapters two to six, I interpreted complex functions as transformations of the plain and developed theory, necessary for defining and understanding geometry. I interpreted spherical and hyperbolic geometry as geometry of the sphere and the pseudosphere. Transformation groups of Euclidean, spherical and hyperbolic geometries are formed using the three reflections theorem. I developed isometric mappings from the sphere and the pseudosphere to the plain and interpreted transformation groups of the three geometries as transformations of the plain and consequently as Möbius transformations. In the second part, consisting of chapter seven, I described applications which demonstrate two-dimensional geometries.
Sekundarne ključne besede:	Möbius transformation;reflection in a circle;Euclidean geometry;surface curvature;spherical geometry;hyperbolic geometry;computer science;diploma;
Vrsta datoteke:	application/pdf
Vrsta dela (COBISS):	Diplomsko delo
Komentar na gradivo:	Univerza v Ljubljani, Fakulteta za računalništvo in informatiko
Strani:	VII, 85 str.
ID:	23829089