Paul Erdös i dokazi iz Knjige

master's thesis

• Author: Martina Perić
• Mentor: Boris Muha (mentor)
• Committee member: Boris Muha (predsjednik povjerenstva)
• Committee member: Zvonimir Bujanović (član povjerenstva)
• Committee member: Maja Resman (član povjerenstva)
• Committee member: Maja Starčević (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2019-02-28, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U prvom poglavlju ovog diplomskog rada prikazan je život mađarskog matematičara iz 20. stoljeća, Paula Erdösa. U drugom poglavlju rada nalaze se odabrani dokazi iz triju matematičkih područja, teorije brojeve, kombinatorike i teorije grafova. U Teoriji brojeva iznijet je dokaz tvrdnje da je skup prostih brojeva beskonačan i dokaz Bertrandovog postulata. U Kombinatorici je prikazan dokaz Teorema Erdös-Ko-Rado, a u Teoriji grafova dokaz Turánovog teorema i Teorema o prijateljstvu.

Abstract (english)

In the first chapter of this graduate thesis is presented the life of Hungarian mathematician from the 20th century, Paul Erdös. In the second chapter there are selected proofs from three mathematical areas, number theory, combinatorics and graph theory. Section Number theory gives proof of the infinity of primes and proof of Bertrand's postulate. Combinatorics gives proof of Erdös-Ko-Rado theorem and Graph theory gives the proof of Turán's theorem and Friendship Theorem.

• Keywords: Erdös; teorija brojeva; kombinatorika; teorija grafova; Bertrandov postulat; teorem Erdös-Ko-Rado; Turánov teorem; teorem o prijateljstvu
• Keywords (english): Erdös; number theory; combinatorics; graph theory; Bertrand's postulate; Erdös-Ko-Rado theorem; Turán's theorem; Friendship Theorem
• Language: croatian
• URN:NBN: urn:nbn:hr:217:783396
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-09-03 11:14:46