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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Modular algorithms and interpolation
 Kubát, David ; Stanovský, David (advisor) ; Žemlička, Jan (referee)
This thesis concerns with the polynomial interpolation problem and the rational function reconstruction problem (Cauchy interpolation, Padé approximation). It does so from the algebraical point of view. Moreover, it involves some applications of the generalized Chinese remainder theorem (Hermite interpolation, partial fraction decomposition). An important theoretical concept regarding the above mentioned problems is the Euclidean algorithm, which is studied in case of polynomial rings. The structure of the thesis is based on the book by von zur Gathen and Gerhard called Modern Computer Algebra. Its exercises are the main content of the thesis. They usually extend the theory involved. Powered by TCPDF (www.tcpdf.org)
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Theory of Numbers in Ancient Greece
 Smrčka, Zdeněk ; Bečvář, Jindřich (advisor) ; Halas, Zdeněk (referee)
Title: Theory of Numbers in Ancient Greece Author: Bc. Zdenek Smrcka Department: The Department of Mathematics Education Supervisor: doc. RNDr. Jindřich Bečvář, CSc. Abstract: The goal of this thesis is to write up clearly and comprehensibly numeric theoretical research and its results in Ancient Greece between 6 century before Christ and 4 century after Christ. In this thesis we try show examples use of Greece's Mathematics for improvement teaching in education and better understanding abstract thinking in Mathematics. We want so that students understand thinking and abilities Greece's mathematicians. We compare high school view on searching greatest common divisor and Euclidean algorithm. We present important Greece's knowledges as sieve of Eratosthenes, arithmetic of Diofantos etc.. Something of Greece's knowledges as Euclidean algorithm, sieve of Eratosthenes etc. are use of up to now. Keywords: Mathematics in Ancient Greece, figurate number, theory of numbers, Continual fraction, Euclidean algorithm
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