diplomsko delo
Vesna Nemet (Author), Aleksander Malnič (Mentor)

Abstract

Osrednji del diplomskega dela je predstavitev začetkov matematike od starih Egipčanov in Babiloncev do srednjega veka. Osredotočimo se predvsem na problem konvergence in neskončne deljivosti dolžin, ki sta v zgodovini matematike predstavljala velik problem. Izpostavimo računanje kvadratnih korenov pri starih Babiloncih, od starogrških matematikov obravnavamo Zenona in njegov paradoks Ahila in želve, iz srednjega veka pa Oresmejev dokaz divergence harmonične vrste. Zaradi lažjega razumevanja obravnavanih problemov, uvodu sledi poglavje o zaporedjih in vrstah. Za konec si pogledamo še moderni koncept zaporedij ter konvergence v metričnih prostorih.

Keywords

zaporedja;vrste;konvergenca;babilonska matematika;zgodovina matematike;Zenonovi paradoksi;Oresmejev dokaz;metrični prostori;

Data

Language: Slovenian
Year of publishing:
Typology: 2.11 - Undergraduate Thesis
Organization: UL PEF - Faculty of Education
Publisher: [V. Nemet]
UDC: 51(043.2)
COBISS: 11249737 Link will open in a new window
Views: 738
Downloads: 175
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Other data

Secondary language: English
Secondary title: The concept of sequence in the history of mathematics
Secondary abstract: The main part of this thesis presents the beginnings of mathematics from the periods of Ancient Egypt and Babylon to the Middle Ages. It mainly focuses on the issue of convergence and infinite divisibility of lengths, which were important problems in the history of mathematics. It addresses Babylonian square root calculations, Zeno’s paradox of the tortoise and Achilles in Greek mathematics, and Oresme’s proof of the divergence of the harmonic series. The introductory part is followed by a chapter discussing sequences and series for better understanding of the problems. The final part of the thesis touches on the modern concept of sequence and convergence in metric spaces.
Secondary keywords: mathematics;matematika;
File type: application/pdf
Type (COBISS): Undergraduate thesis
Thesis comment: Univ. v Ljubljani, Pedagoška fak., Fak. za matematiko in fiziko, Matematika in fizika
Pages: 41 f.
ID: 9192999