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Surfaces and volume of measurable sets
Tomislav Marušić (2018)
University of Split
University of Split, Faculty of science
Department of Mathematics
Cite this document...

Marušić, T. (2018). Površine i volumeni izmjerivih skupova (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:792081

Marušić, Tomislav. "Površine i volumeni izmjerivih skupova." Master's thesis, University of Split, University of Split, Faculty of science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:792081

Marušić, Tomislav. "Površine i volumeni izmjerivih skupova." Master's thesis, University of Split, University of Split, Faculty of science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:792081

Marušić, T. (2018). 'Površine i volumeni izmjerivih skupova', Master's thesis, University of Split, University of Split, Faculty of science, accessed 23 March 2019, https://urn.nsk.hr/urn:nbn:hr:166:792081

Marušić T. Površine i volumeni izmjerivih skupova [Master's thesis]. Split: University of Split, University of Split, Faculty of science; 2018 [cited 2019 March 23] Available at: https://urn.nsk.hr/urn:nbn:hr:166:792081

T. Marušić, "Površine i volumeni izmjerivih skupova", Master's thesis, University of Split, University of Split, Faculty of science, Split, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:166:792081

Metadata
TitlePovršine i volumeni izmjerivih skupova
Title (english)Surfaces and volume of measurable sets
AuthorTomislav Marušić
MentorNikola Koceić Bilan (mentor)
Committee memberNikola Koceić Bilan (predsjednik povjerenstva)
Committee memberGoran Erceg (član povjerenstva)
Committee memberIvan Jelić (član povjerenstva)
GranterUniversity of Split
University of Split, Faculty of science
(Department of Mathematics)
Split
Defense date and country2018-03-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj rad je pisan metodom istraživanja. Podijeljen je na tri glavna dijela, s tim da su prva dva usko povezana, drugi dio sadrži više primjera generalizacije prvog dijela. Moglo bi se reći da je rad napravljen na nekoliko nivoa, tako da svaki sljedeći obuhvaća prethodne. Tako se od samog početka i površina poligona i nekih primjera koji se pojavljuju u matematici na nižim obrazovnim stadijima, preko volumena poliedara uzdižemo do izmjerivih skupova. Naposljetku će sve to biti obuhvaćeno skupovima koje nazivamo Lebesgueovi skupovi. U radu je napravljena poveznica između matematike na nižoj i višoj razini a sve to je prožeto raznim primjerima i slikama koji daju jednostavniji uvid u cjelokupan rad.
Abstract (english)
This paper was written using the investigative method. It is divided into three main parts, the first two being closely connected, and the second containing more examples of generalisations of the first. We could say that this paper was made on multiple levels, such that every next level contains and summarises the previous one. In this way, we can say that from the very beginning, from the surfaces of polygons to the volumes of polyedars we rise up the chain of knowledge all the way to measurable sets. In the end, all of this will be contained in sets which we call Lebesgue sets. This paper therebly sets out to make a link between lower and higher level mathematics, and all of it is supported with numerous examples and images that provide easier understanding of the paper.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:792081
Study programmeTitle: Matematika; smjerovi: teorijski, računarski, nastavnički
Study programme type: sveučilišni
Study level: diplomski
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourcetext
File originBorn digital
Access conditionsRestricted access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2018-06-20 15:48:00