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Interesting prime numbers and their properties
KRATOCHVÍL, Daniel
The aim of this bachelor thesis is to introduce special kinds of prime numbers to the reader. The thesis is divided into four parts. The first, introductory, one deals with the definition of prime numbers, provides some basic information about them, and offers one of the methods for finding the prime numbers. The following two parts focus on special kinds of prime numbers, the former of them contains those kinds of prime numbers which are named after famous mathematicians. The latter part is concern with prime numbers which are special for their unique attribute. In the closing part there are some exercises either with or without their solution.
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Combinatorics of filters on the natural numbers
Chládek, Alexandr ; Verner, Jonathan (advisor) ; Grebík, Jan (referee)
The work is intended to combinatorial properties of filters on natural numbers as an introduction and motivation to the problematics between definability of the filters and its combinatorics. Basic filter types: P-filter, Q-filter, Rapid filter; orders: Rudin-Kiesler, Rudin-Blass, Katětov and Tukey; filter kon- structions; basic definitions related to combinatorics on ω; introduction to basic descriptive set theory and topology and some specific results. 1
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Natural numbers for the future teachers on primary school
JURAŠOVÁ, Hana
The main target of the diploma work is to create study material , which summarizes problems of natural numbers for the needs of students, who are studying teaching profession for primary schools. The first part of the thesis deals with historical development of numbers and numerical systems and with psychological process of acquisition of numerical images among pupils at the beginning of the school attendance. The second part of the diploma work is composition of tasks collection containing given subjects matter from the entertaining view, which will serve for extension of skills in given subject matter and for development of students logical thought. Part of the work is composition and assessment of tests for students, namely at the beginning and at the end of studium, as comparation of skills state in natural numbers subject before and after going through the given subject matter.
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