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DIOFANTOVE JEDNAĈINE. DIOPHANTUS EQUATIONS
AUTOR: MILICA MATORĈEVIĆ ,VIII 2,OŠ „Mića Stojković“,Umĉari
MENTOR:VESNA RAJŠIĆ,profesor matematike,Elektrotehniĉka škola „Nikola Tesla“, Beograd
Rezime
Diofantove jednaĉine predstavljaju staru i znaĉajnu temu kojom su se matematiĉari bavili kroz bogatu istoriju
matematickih teorija i problema.Istovremeno problemi Diofantovih jednaĉina su i jedan od problema kojima se
matematiĉari i vremenski dugo bave.Matijaševiĉeva teorema i rešavanje Fermaovog problema dali su odgovore na dva
znaĉajnija problema vezana za Diofantove jednaĉine.Istorijat Diofantovih jednaĉina je u matematiĉkoj nauci jedan od
najinteresantnijih istorijskih puteva.Razvoj teorijske misli o Diofantovim jednaĉinama, najuţe je povezan sa evolucijom
matematike,razvojem matematiĉkih teorija i metoda.
Kljuĉne reĉi:Diofantove jednaĉine,linearne Diofantove jednaĉine,Diofant iz Aleksandrije, Pitagorine trojke.
Summary
Throughout the rich history of mathematical theories and problems,Diophantus equatious have always beew an old and
important matter mathematicians used to deal with.Diophantus equations are also the matter requires time due to their
difficulty.
Matijaševic's theorem and solving Fermat's problem gave answer to two important problems concerning Diophantus
equations.The history of Diophantus equations is one of the most interesting historical paths in mathematical science.
The development of theoretical thought about Diophantus equations is dosely connected to the evolution of
mathematics,the development of mathematical theories and methods.
Keywords: Diophantus equations , linear Diophantus equations, Diophantus of Alexandria, Pythagoras trebles.