Hiperbolične funkcije

Povzetek

Ključne besede

Podatki

Jezik:	Slovenski jezik
Leto izida:	2012
Izvor:	Ljubljana
Tipologija:	2.11 - Diplomsko delo
Organizacija:	UL PEF - Pedagoška fakulteta
Založnik:	[T. Bergant]
UDK:	51(043.2)
COBISS:	9311561
Št. ogledov:	913
Št. prenosov:	148
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	Hyperbolic functions
Sekundarni povzetek:	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.
Sekundarne ključne besede:	mathematics;matematika;
Vrsta datoteke:	application/pdf
Vrsta dela (COBISS):	Diplomsko delo
Komentar na gradivo:	Univ. Ljubljana, Pedagoška fak., Matematika in fizika [in] Fak. za matematiko in fiziko
Strani:	8 str.
Vrsta dela (ePrints):	thesis
Naslov (ePrints):	Hyperbolic functions
Ključne besede (ePrints):	hiperbolične funkcije
Ključne besede (ePrints, sekundarni jezik):	hyperbolic functions
Povzetek (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.
Povzetek (ePrints, sekundarni jezik):	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.
Ključne besede (ePrints, sekundarni jezik):	hyperbolic functions
ID:	8310551