20.500.12556/RUL-187101 Liber Abaci: struktura dela in rešitve izbranih matematičnih problemov magistrsko delo Liber Abaci: structure of the work and solutions to selected mathematical problems Magistrsko delo obravnava knjigo Liber Abaci italijanskega matematika Leonarda Pisana, bolj znanega pod imenom Fibonacci. V njej so zapisani številni matematični problemi, med katerimi so najpomembnejši tisti, povezani s trgovino, denarjem in vsakdanjimi izzivi. V prvem delu je predstavljeno zgodovinsko ozadje srednjega veka v Evropi s poudarkom na 12. in 13. stoletju, takratni matematiki ter indoarabskem številskem sistemu. Sledi opis življenja in dela Fibonaccija. V drugem delu so podane informacije o Liber Abaci, njenih rokopisih in prevodih. Sledi pregled celotne vsebine po poglavjih, pri čemer so predstavljeni matematični postopki in metode ter pojasnjena notacija, uporabljena v knjigi. Tretji del prinaša izbrane aritmetične naloge iz knjige in njihove rešitve, zapisane v sodobni matematični notaciji. Rešitve aritmetičnih nalog so v Liber Abaci podane obširno, brez uporabe matematičnih znakov in simbolov, saj niso bili v uporabi. Pri nekaterih nalogah je predstavljen tudi postopek reševanja, kot je opisan v knjigi, da bralec dobi boljši vpogled v aritmetiko nekoč in danes, ter njeno notacijo. Namen raziskave je predstaviti vsebino knjige Liber Abaci v zgodovinskem in matematičnem kontekstu. The master’s thesis examines the book Liber Abaci by the Italian mathematician Leonardo of Pisa, better known as Fibonacci. It contains numerous mathematical problems, the most important of which concern trade, money and everyday challenges. The first part presents the historical background of the Middle Ages in Europe, with a focus on the 12th and 13th century. The 12th century is considered through contemporary mathematicians and the Hindu-Arabic numeral system. This is followed by a description of the life and work of Fibonacci. In the second part, information about Liber Abaci, its manuscripts and its translations is presented. This is followed by a review of the entire book, with a description of the content chapter by chapter. In this context, various mathematical procedures and methods are outlined, together with an explanation of the notation used in the book. The third part presents selected arithmetic problems from the book together with their solutions, written in modern mathematical notation. The solutions to the arithmetic problems in Liber Abaci are given in detail, without mathematical signs and symbols, as these were not in use when the book was written. In some problems, the solution process is also presented, as described in the book, so that the reader gains a clearer insight into arithmetic both in the past and today, as well as into its notation. The purpose of the research is to present the content of Liber Abaci within its historical and mathematical context. matematika aritmetika osnovnošolsko učenje in poučevanje Liber Abaci Leonardo Pisano Fibonacci indoarabski številski sistem aritmetični problemi Liber Abaci Leonardo Pisano Fibonacci Hindu-Arabic numeral system arithmetic problems true false false B. Klobčaver Slovenski jezik Angleški jezik Magistrsko delo/naloga 2026-09-09 08:30:34 2026-09-09 08:30:37 2026-09-10 10:23:53 0000-00-00 00:00:00 2026 0 Ljubljana 0 Ljubljana 67 str. 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 511(043.2) 209850 290623491 53274.pdf 53274.pdf 1 F41360CB5F86E47748A977D8F5B9503C 9adf1dd1fda2d6953152b0bc2027c165882972de2b01f943affe95269941b0cf f2d666fc-ac17-11f1-8bc5-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=246540 Pedagoška fakulteta 0 0 0