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Title:VIŠINA IN PRESEŽEK PITAGOREJSKIH TROJK
Authors:ID Požun, Vesna (Author)
ID Eremita, Daniel (Mentor) More about this mentor... New window
Files:.pdf UNI_Pozun_Vesna_2012.pdf (1,02 MB)
MD5: 3DD47CCD2E6E7D8B043ADC4EEF6BEE93
PID: 20.500.12556/dkum/afef6ec0-6542-436f-85ad-e14ece8ced44
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Pitagorejska trojka (a,b,c) je urejena trojica naravnih števil, za katere velja, da je a^2+b^2=c^2. Namen diplomskega dela je predstaviti parametrizacijo pitagorejskih trojk z višino in presežkom in izpeljati rezultate, ki opisujejo strukturo množice pitagorejskih trojk. Prvo poglavje je namenjeno predstavitvi značilnosti grške matematike. V drugem poglavju je predstavljena parametrizacija pitagorejskih trojk z višino in presežkom, tretje poglavje pa je namenjeno obravnavi operacij na množici pitagorejskih trojk.
Keywords:pitagorejska trojka, primitivna pitagorejska trojka, Barningovo drevo, Beauregard-Suryanarayanov monoid, Beauregard-Suryanarayanove grupe
Place of publishing:Maribor
Publisher:[V. Požun]
Year of publishing:2012
PID:20.500.12556/DKUM-38966 New window
UDC:51(043.2)
COBISS.SI-ID:19536136 New window
NUK URN:URN:SI:UM:DK:PSTGSTN2
Publication date in DKUM:10.12.2012
Views:1660
Downloads:155
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:HEIGHT AND EXCESS OF PYTHAGOREAN TRIPLES
Abstract:A Pythagorean triple (a,b,c) consists of three positive integers a, b and c, such that a^2+b^2=c^2. The purpose of this thesis is to present the height-excess enumeration of Pythagorean triples and present some results describing the set of Pythagorean triples. First chapter represents features of Greek mathematics. The second chapter represents the height-excess enumeration of Pythagorean triples. Third chapter represents algebraic operations on sets of generalized Pythagorean triples.
Keywords:Pythagorean triples, primitive Pythagorean triples, Barning tree, The Beauregard-Suryanarayan monoid, The Beauregard-Suryanarayan group


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