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master's thesis
Daniellov integral
2023. urn:nbn:hr:166:820870
Barić, Ivan
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Barić, I. (2023). Daniellov integral (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:820870

Barić, Ivan. "Daniellov integral." Master's thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:820870

Barić, Ivan. "Daniellov integral." Master's thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:820870

Barić, I. (2023). 'Daniellov integral', Master's thesis, University of Split, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:166:820870

Barić I. Daniellov integral [Master's thesis]. Split: University of Split, Faculty of Science; 2023 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:166:820870

I. Barić, "Daniellov integral", Master's thesis, University of Split, Faculty of Science, Split, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:166:820870

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Metadata
TitleDaniellov integral
Title (english)Daniell integral
AuthorIvan Barić
MentorVesna Gotovac Đogaš (mentor)
Committee memberVesna Gotovac Đogaš (predsjednik povjerenstva)
Committee memberJurica Perić (član povjerenstva)
Committee memberMarcela Mandarić (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2023-02-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Osnovni cilj ovog rada je aksiomatski pristup teoriji integracije. U prvom poglavlju su izneseni osnovni rezultati Riemannovog i Lebesgueovog pristupa pojmu integrala. U drugom poglavlju uvodimo Daniellov integral, pojmove donjih i gornjih funkcija te pojam sumabilne funkcije. U trećem poglavlju dajemo vezu Daniellovog integrala i teorije mjere. Na samom kraju iznosimo Stoneov aksiom i objašnjavamo njegovu važnost.
Abstract (english)
Primary goal of this paper is axiomatic approach to theory of integration. In the first chapter we give basic results of Riemann and Lebesgue integral. In the second chapter we introduce definition of Daniell integral, definitions of lower and upper functions and definition of summable function. In the third chapter we give a link between Daniell integral and measure theory. At the very end we discuss Stone’s axiom and it’s importance.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:820870
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching, major in statistics and computing
Course: major in statistics and computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2023-03-03 13:52:09