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Title:LEIBNIZ-NEWTONOVA FORMULA
Authors:ID Polanec, Brigita (Author)
ID BREŠAR, MATEJ (Mentor) More about this mentor... New window
Files:.pdf UNI_Polanec_Brigita_2009.pdf (364,32 KB)
MD5: EE8A8AE6A4A48373A1B68866F12517DB
PID: 20.500.12556/dkum/fc242e26-7cb8-45ea-a5a0-72a74a4e9a26
 
Language:Slovenian
Work type:Undergraduate thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
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, kakor 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 integral, določeni integral, osnovni izrek analize.
Place of publishing:Maribor
Publisher:[B. Polanec]
Year of publishing:2009
PID:20.500.12556/DKUM-10729 New window
UDC:51(043.2)
COBISS.SI-ID:16947208 New window
NUK URN:URN:SI:UM:DK:OPOXDQE1
Publication date in DKUM:17.06.2009
Views:4697
Downloads:305
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:LEIBNIZ-NEWTON FORMULA
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.
Keywords:Mathematics, Leibniz-Newton formula, indefinite integral, definite integral, fundamental theorem of analysis.


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