Download
PDF 23.84 MB
master's thesis
28   2
The Beginnings of Development of Combinatoriae Probability Theory
Helena Dravec (2019)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Applied Mathematics Research Group
Cite this document

Dravec, H. (2019). Počeci razvoja kombinatorne teorije vjerojatnosti (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:733376

Dravec, Helena. "Počeci razvoja kombinatorne teorije vjerojatnosti." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:733376

Dravec, Helena. "Počeci razvoja kombinatorne teorije vjerojatnosti." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:733376

Dravec, H. (2019). 'Počeci razvoja kombinatorne teorije vjerojatnosti', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 21 November 2019, https://urn.nsk.hr/urn:nbn:hr:126:733376

Dravec H. Počeci razvoja kombinatorne teorije vjerojatnosti [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2019 November 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:733376

H. Dravec, "Počeci razvoja kombinatorne teorije vjerojatnosti", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:733376

Metadata
TitlePočeci razvoja kombinatorne teorije vjerojatnosti
Title (english)The Beginnings of Development of Combinatoriae Probability Theory
AuthorHelena Dravec
MentorTomislav Marošević (mentor)
Committee memberDragana Jankov Maširević (predsjednik povjerenstva)
Committee memberTomislav Marošević (član povjerenstva)
Committee memberNenad Šuvak (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics)
(Applied Mathematics Research Group)
Osijek
Defense date and country2019-10-04, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
Ovaj rad otkriva povijest kombinatorne teorije vjerojatnosti od najranijih poznatih zapisa do sredine 18. stoljeća. Rad se dotiče povijesti od drevnih indijskih znanja o vjerojatnosti, preko koncepta vjerojatnosti u antičkoj grčkoj i srednjem vijeku, za koji se smatralo da je određen Božjom voljom, do početka određivanja šansi za pobjedu u igri u doba renesanse. Zatim slijedi začetak teorije vjerojatnosti za koju su zaslužni Pierre de Fermat, Blaise Pascal i njihovo slavno dopisivanje. Oni su postavili temelje na kojima nastavljaju graditi Christiaan Huygens i Jacob Bernoulli. Na posljetku dolazi Abraham de Moivre koji objedinjuje sve poznate rezultate i donosi svoje nove ideje koje postaju osnova teorije vjerojatnosti za buduće generacije.
Abstract (english)
This paper reveals history of combinatorial probability theory from oldest known sources to mid 18th century. It touches the history from ancient Indian knowledge of probability, through the concept of probabilty in ancient Greek and Middle ages, which they taught was determined by the will of God, to the beginning of calculating chances for winning a game in Renaissance. Then follows beginning of probability theory for which Pierre de Fermat and Blaise Pascal are credited through their famous correspondence. They set the basis on which Christiaan Huygens and Jacob Bernoulli will continue to work. In the end comes Abraham de Moivre who brings together all probality theory knowledge and gives his own new ideas that become basis of probability theory for the future generations.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:733376
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2019-10-25 06:03:27