Leibniz-Newtonova formula

diplomsko delo

Brigita Polanec (Author), Matej Brešar (Mentor)

Abstract

V diplomskem delu predstavimo Leibniz-Newtonovo formulo. V prvem delu so definirani osnovni pojmi, ki jih potrebujemo za nadaljnjo razlago. V nadaljevanju so predstavljeni izreki integralskega računa. V zadnjem delu diplomskega dela je podan življenjepis obeh matematikov in zgodovinski opis odkritja Leibniz-Newtonove formule ter tudi razlike in podobnosti v razvoju. Zaključimo lahko, da sta Leibniz in Newton razvila pomemben matematičen rezultat, s katerim nam je omogočeno, da hitreje in enostavneje izračunamo vrednost določenega integrala. Njuno odkritje pa je pripomoglo tudi k nadaljnjim, novim rezultatom v matematiki.

Keywords

matematika;Leibniz-Newtonova formula;nedoločeni integrali;določeni integrali;analiza;osnovni izrek;diplomska dela;

Data

Language:	Slovenian
Year of publishing:	2009
Source:	Maribor
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[B. Polanec]
UDC:	51(043.2)
COBISS:	16947208
Views:	3703
Downloads:	251
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	LEIBNIZ-NEWTON FORMULA
Secondary abstract:	In Graduate thesis we present Leibniz-Newton formula. In the first part we define the basic concepts which are used for further explanation. In the further we present theorems of integral calculus. The biography of Newton and Leibniz and historical description of discovery Leibniz-Newton formula, as well as diferences and similaritys in her development are in the last part of Graduate thesis. We can conclude that Leibniz and Newton, has develop an important mathematical result, which allow us faster and simpler value of calculation of definite integrals. Their discovery in further has also assist to new results in mathematics.
Secondary keywords:	Mathematics;Leibniz-Newton formula;indefinite integral;definite integral;fundamental theorem of analysis.;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	55 f.
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID:	8761613