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undergraduate thesis
Razvoj teorije vjerojatnosti
2022. urn:nbn:hr:179:609376
Rubić, Mateo
University of Split
Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture
Department of Mathematics and Physics

Cite this document

Rubić, M. (2022). Razvoj teorije vjerojatnosti (Undergraduate thesis). Split: University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture. Retrieved from https://urn.nsk.hr/urn:nbn:hr:179:609376

Rubić, Mateo. "Razvoj teorije vjerojatnosti." Undergraduate thesis, University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, 2022. https://urn.nsk.hr/urn:nbn:hr:179:609376

Rubić, Mateo. "Razvoj teorije vjerojatnosti." Undergraduate thesis, University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, 2022. https://urn.nsk.hr/urn:nbn:hr:179:609376

Rubić, M. (2022). 'Razvoj teorije vjerojatnosti', Undergraduate thesis, University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, accessed 03 May 2024, https://urn.nsk.hr/urn:nbn:hr:179:609376

Rubić M. Razvoj teorije vjerojatnosti [Undergraduate thesis]. Split: University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture; 2022 [cited 2024 May 03] Available at: https://urn.nsk.hr/urn:nbn:hr:179:609376

M. Rubić, "Razvoj teorije vjerojatnosti", Undergraduate thesis, University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Split, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:179:609376

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Metadata
TitleRazvoj teorije vjerojatnosti
Title (english)Development of probability theory
AuthorMateo Rubić
MentorNevena Jakovčević Stor https://orcid.org/0000-0002-9037-7631 (mentor)
GranterUniversity of Split
Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture
(Department of Mathematics and Physics)
Split
Defense date and country2022-09-21, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Mechanical Engineering
Abstract
Ljeto 1654. godine i dopisivanje Pascala i de Fermata možemo smatrati kao početak suvremene teorije vjerojatnosti. Matematičke probleme vezane uz igre na sreću su zajedničkim snagama riješili koristeći Pascalov trokut i njegovu poveznicu s binomnim koeficijentima. Christiaan Huygens nastavlja njihov rad i 1667. objavljuje knjižicu De ratiociniis in ludo aleae o teoriji vjerojatnosti koja se temelji na radu Pascala i de Fermata. Prva teorijska rasprava vjerojatnosti kao broja između 0 i 1 nalazi se u djelu Ars conjectandi Jacoba Bernoullija, objavljenom posthumno 1713. godine. 1689. objavio je Bernouillijev zakon velikih brojeva: ako pokus ponovimo dovoljno mnogo puta relativna frekvencija jednaka je vjerojatnosti uspjeha. Abraham de Moivre nadopunjava i nastavlja Bernoullijev rad u djelu The doctrine of chance: A method of calculating the probabilities of events in play. Nećak Jacoba Bernoullija, Daniel Bernoulli 1760-ih prvi uvodi tehnike diferencijalnog računa u teoriju vjerojatnosti. Pierre Simon Laplace svojim djelom Theorie Analytique des probabilities utemeljio je modernu teoriju vjerojatnosti koju su u budućnosti obrađivali i nadopunjavali mnogi matematičari.
Abstract (english)
The summer of 1654. and the correspondence between Pascal and de Fermat can be considered as the beginning of modern probability theory. Mathematical problems related to games of chance were jointly solved using Pascal’s triangle and its connection with binomial coefficients. Christiaan Huygens continued their work and in 1667 published a booklet De ratiociniis in ludo aleae on probability theory based on the work of Pascal and de Fermat. The first theoretical discussion of probability as a number between 0 and 1 is found in Jacob Bernoulli’s work Ars conjectandi, published posthumously in 1713. In 1689, he published Bernouilli’s law of large numbers: if we repeat an experiment enough times, the relative frequency is equal to the probability of success. Abraham de Moivre complements and continues Bernoulli’s work in the work The doctrine of chance: A method of calculating the probabilities of events in play. Jacob Bernoulli’s nephew, Daniel Bernoulli, in the 1760s was the first to introduce differential calculus techniques into probability theory. With his work Theorie Analytique des probabilities, Pierre Simon Laplace founded the modern theory of probability, which was elaborated and supplemented by many mathematicians in the future.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:179:609376
Study programmeTitle: Mechanical Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/ baccalaurea) inženjer/inženjerka strojarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/ baccalaurea) inženjer/inženjerka strojarstva)
Type of resourceText
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Created on2023-06-27 08:07:43