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Economic Curves
Hrubešová, Gabriela ; Doupovec, Miroslav (referee) ; Kureš, Miroslav (advisor)
The topic of this bachelor's thesis is to study some economic curves, a description of their attributes and a determining the mathematical expression. In the first part, it is explained the issues of general plane curves. Next part focuses on the characteristics of the most important economic curves and their use. The mathematical properties of the individual curves are described below. The last part is a software implementation in the program Wolfram Mathematica.
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Introduction of Negative Numbers in the History of Algebra
Daněk, Jaroslav ; Kvasz, Ladislav (advisor) ; Jančařík, Antonín (referee)
I have divided this work in four chapters, according to the most important places of development of mathematics and his symbolism and I have described some specific historical period of progress of mathematics, which was in the global comparison the most attractive or developed. In the first chapter I occupy with Chinese mathematics, which keep the oldest mathematical knowledge already since the second millennium, therefore immediately on the first place of my work. The second chapter deal with the Indian mathematics, which leaves us knowledge of Indian mathematician Brahmagupta from the 7th century AD, who probably continues in Chinese mathematics. After that it follows mathematics of the Arab world, which had the biggest influence on the European mathematics, where the minus sign was definitively established and stabilized from the earlier rhetorical markings. The central figure, as this chapter, so the whole work, is the German mathematician Michael Stifel and his piece of work the Arithmetica integra. KEYWORDS negative numbers, equations, coefficient, solutions
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Economic Curves
Hrubešová, Gabriela ; Doupovec, Miroslav (referee) ; Kureš, Miroslav (advisor)
The topic of this bachelor's thesis is to study some economic curves, a description of their attributes and a determining the mathematical expression. In the first part, it is explained the issues of general plane curves. Next part focuses on the characteristics of the most important economic curves and their use. The mathematical properties of the individual curves are described below. The last part is a software implementation in the program Wolfram Mathematica.
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The equations and systems of equations in problems from Mathematical Olympiad categories A, B and C
ŠIMÁNKOVÁ, Zuzana
The diploma thesis included of informations of a Mathematical Olympiad, equations and systems of equations. The theoretical part contains a historical development and its organization, next it contains informations about equations and their teaching as it is given in the National Curriculum. The practical part consists of a collection of exercises on the topic of equations and systems of equations, which were included in the competition Mathematical Olympiad. Examples in the collection are divided into categories vhich appeard, and ranked by difficulty. Further practical part includes evaluation works heets completed by students of Pedagogicial faculty, University of South Bohemia. This thesis may serve as preparation pupils on Mathematical Olympiad or as a collection of examples for talented pupils
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A digest of word problems solved through equations
PEJCHAL, Michal
My bachelor´s thesis is a digest of word problems solved through equations. Word problems are on level of 8th a 9th classes of elementary school. The work is divided into two main parts, which are divided into another parts. Main parts contain theory, elaborate examples and examples with solutions. Some examples include pictures, which help to understand situations.
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