Hiperbolične funkcije

Abstract

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Language:	Slovenian
Year of publishing:	2012
Source:	Ljubljana
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[T. Bergant]
UDC:	51(043.2)
COBISS:	9311561
Views:	913
Downloads:	148
Average score:	0 (0 votes)
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Secondary language:	English
Secondary title:	Hyperbolic functions
Secondary abstract:	This thesis is an introduction to hyperbolic functions. The history part describes the lives and work of the mathematicians Vincenzo Riccati and Johann Heinrich Lambert. The characteristics section deals with the hyperbolic functions’ definitions, graphs, derivatives, integrals, and power series expressions. The thesis also presents the relations between the hyperbolic functions, their inverse functions and addition theorems. Also included are the comparison of the hyperbolic functions to the trigonometric functions by means of their geometric interpretation, and the description of the relations among them by means of a complex argument. The thesis concludes with two examples of use, the catenary and the Dirichlet problem.
Secondary keywords:	mathematics;matematika;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. Ljubljana, Pedagoška fak., Matematika in fizika [in] Fak. za matematiko in fiziko
Pages:	8 str.
Type (ePrints):	thesis
Title (ePrints):	Hyperbolic functions
Keywords (ePrints):	hiperbolične funkcije
Keywords (ePrints, secondary language):	hyperbolic functions
Abstract (ePrints):	V diplomskem delu so predstavljene hiperbolične funkcije. V sklopu zgodovine le-teh sta skozi življenje in delo opisana matematika Vincenzo Riccati in Johann Heinrich Lambert, pod lastnostmi hiperboličnih funkcij pa so obravnavane njihove definicije, grafi, odvodi, integrali in razvoji v potenčne vrste. Predstavljene so tudi zveze med njimi, njihove inverzne funkcije in adicijski izreki. Povzete so povezave hiperboličnih funkcij s trigonometričnimi, in sicer preko geometrijske razlage prvih in drugih ter povezava s pomočjo kompleksnega argumenta. Na koncu sta navedena še dva primera uporabe, in sicer verižnica in Dirichletov problem.
Abstract (ePrints, secondary language):	This thesis is an introduction to hyperbolic functions. The history part describes the lives and work of the mathematicians Vincenzo Riccati and Johann Heinrich Lambert. The characteristics section deals with the hyperbolic functions’ definitions, graphs, derivatives, integrals, and power series expressions. The thesis also presents the relations between the hyperbolic functions, their inverse functions and addition theorems. Also included are the comparison of the hyperbolic functions to the trigonometric functions by means of their geometric interpretation, and the description of the relations among them by means of a complex argument. The thesis concludes with two examples of use, the catenary and the Dirichlet problem.
Keywords (ePrints, secondary language):	hyperbolic functions
ID:	8310551