Möbiusove transforamcije in dvojne spirale : magistrsko delo : na študijskem programu 2. stopnje Izobraževalna matematika (dvopredmetna)

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Möbiusove transforamcije in dvojne spirale : magistrsko delo : na študijskem programu 2. stopnje Izobraževalna matematika (dvopredmetna)

Breznik, Katja, 1992-

V pričujočem magistrskem delu se najprej seznanimo s Kleinovim konceptom geometrije. Ta nam med drugim omogoča, da med različnimi geometrijami, ki jih lahko razumemo kot dokaj neodvisne matematične ... teorije, vzpostavimo medsebojne relacije. V drugem poglavju preidemo na geometrijo kompleksnih števil. Sledi osrednje poglavje s podrobno obravnavo Möbiusovih transformacij. Seznanimo se z definicijo, lastnostmi in s klasifikacijo Möbiusovih transformacij. Predstavljeno teorijo podkrepimo s primeri. Za konec opišemo primer dvojne spirale, ki jo zgradimo s pomočjo loksodromične Möbiusove transformacije, podane s predpisom T(z)=((2+i)z+2+4i):(z+2+i), kar je tudi osrednji cilj magistrskega dela.

Type of material - master's thesis ; adult, serious

Publication and manufacture - Maribor : [K. Breznik], 2017

Language - slovenian

COBISS.SI-ID - 23212552

Link(s):
Digital Library of the University of Maribor – DLUM

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Author
Breznik, Katja, 1992-

Availability in libraries

Library/institution	City	Acronym	For loan	Other holdings
Miklošič Library FPNM, Maribor	Maribor	PEFMB	reading room 1 cop.

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Breznik, Katja, 1992-
Pagon, Dušan	04588

Source: Personal bibliographies and: SICRIS

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