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Title:
FIBONACCIJEVA ŠTEVILA
Authors:
ID
Toplak, Stanislava
(Author)
ID
Milutinović, Uroš
(Mentor)
More about this mentor...
Files:
UNI_Toplak_Stanislava_2009.pdf
(743,06 KB)
MD5: DD706793EDB1B059830ED3B34AF7B587
PID:
20.500.12556/dkum/35d56400-f8e9-4e38-9242-c359600aac4c
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
Zaporedje Fibonaccijevih števil je definirano z F0 = 0, F1 = 1 in za n≥2, Fn=F(n-1)+ F(n-2). Fibonaccijeva števila imajo dolgo in bogato zgodovino. Poznamo jih odkar je v začetku 13. stol. Leonardo Fibonacci postavil svoje znamenito vprašanje o razmnoževanju zajčkov. V tem diplomskem delu predstavljamo kombinatorični pristop k dokazovanju izrekov vezanih na Fibonaccijeva, Lucasova in Gibonaccijeva števila. Predstavljenih pa je tudi nekaj povezav med filotakso in zlatim rezom s Fibonaccijevimi števili.
Keywords:
matematika
,
Fibonaccijeva števila
,
Lucasova števila
,
Gibonaccijeva števila
,
kombinatorika
,
filotaksa
,
zlati rez.
Place of publishing:
Maribor
Publisher:
[S. Toplak]
Year of publishing:
2009
PID:
20.500.12556/DKUM-10417
UDC:
51(043.2)
COBISS.SI-ID:
16864776
NUK URN:
URN:SI:UM:DK:CB0HHLWY
Publication date in DKUM:
22.05.2009
Views:
4515
Downloads:
376
Metadata:
Categories:
FNM
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:
TOPLAK, Stanislava, 2009,
FIBONACCIJEVA ŠTEVILA
[online]. Bachelor’s thesis. Maribor : S. Toplak. [Accessed 23 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=10417
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Secondary language
Language:
English
Title:
FIBONACCI NUMBERS
Abstract:
The Fibonacci numbers are defined by F0 = 0, F1 = 1 and for n≥2, Fn = F(n-1) + F(n-2). They have a long and rich history. They have served as mathematical inspiration and amusement since Leonardo Pisano first posed his original rabbit reproduction question at the beginning of the 13th century. In these Graduation Thesis we present combinatorial approach of proving Fibonacci, Lucas and Gibonacci identities. There are present relationships between golden section and phyllotaxis with Fibonacci numbers .
Keywords:
mathematic
,
Fibonacci numbers
,
Lucas numbers
,
Gibonacci numbers
,
combinatorics
,
phyllotaxis
,
golden section.
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