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History and current state of recreational mathematics and its relation to serious mathematics
Bártlová, Tereza ; Pick, Luboš (advisor) ; Silva, Jorge Nuno (referee) ; Levy, Doron (referee)
Dissertation abstract The present thesis is devoted to the study of recreational mathematics, with a particular emphasis on its history, its relation to serious mathematics and its educational benefits. The thesis consists of five papers. In the first one we investigate the history of recreational mathematics. We focus on the development of mathematical problems throughout history, and we try to point out the people who had an important influence on the progress of recreational mathematics. The second article is dedicated to Edwin Abbott Abbott and his book called Flatland. It is one of the first popularizing books on geometry. In the third article we review one of the prominent personalities of recreational mathematics, Martin Gardner. The fourth article is in some sense a sequel to the third one. It deals with treachery of mathematical intuition and mathematical April Fool's hoaxes. The last article is devoted to the implementation recreational mathematics to education of students. 1
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History and current state of recreational mathematics and its relation to serious mathematics
Bártlová, Tereza ; Pick, Luboš (advisor)
Dissertation abstract The present thesis is devoted to the study of recreational mathematics, with a particular emphasis on its history, its relation to serious mathematics and its educational benefits. The thesis consists of five papers. In the first one we investigate the history of recreational mathematics. We focus on the development of mathematical problems throughout history, and we try to point out the people who had an important influence on the progress of recreational mathematics. The second article is dedicated to Edwin Abbott Abbott and his book called Flatland. It is one of the first popularizing books on geometry. In the third article we review one of the prominent personalities of recreational mathematics, Martin Gardner. The fourth article is in some sense a sequel to the third one. It deals with treachery of mathematical intuition and mathematical April Fool's hoaxes. The last article is devoted to the implementation recreational mathematics to education of students. 1
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History and current state of recreational mathematics and its relation to serious mathematics
Bártlová, Tereza ; Pick, Luboš (advisor) ; Silva, Jorge Nuno (referee) ; Levy, Doron (referee)
Dissertation abstract The present thesis is devoted to the study of recreational mathematics, with a particular emphasis on its history, its relation to serious mathematics and its educational benefits. The thesis consists of five papers. In the first one we investigate the history of recreational mathematics. We focus on the development of mathematical problems throughout history, and we try to point out the people who had an important influence on the progress of recreational mathematics. The second article is dedicated to Edwin Abbott Abbott and his book called Flatland. It is one of the first popularizing books on geometry. In the third article we review one of the prominent personalities of recreational mathematics, Martin Gardner. The fourth article is in some sense a sequel to the third one. It deals with treachery of mathematical intuition and mathematical April Fool's hoaxes. The last article is devoted to the implementation recreational mathematics to education of students. 1
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History and current state of recreational mathematics and its relation to serious mathematics
Bártlová, Tereza ; Pick, Luboš (advisor)
Dissertation abstract The present thesis is devoted to the study of recreational mathematics, with a particular emphasis on its history, its relation to serious mathematics and its educational benefits. The thesis consists of five papers. In the first one we investigate the history of recreational mathematics. We focus on the development of mathematical problems throughout history, and we try to point out the people who had an important influence on the progress of recreational mathematics. The second article is dedicated to Edwin Abbott Abbott and his book called Flatland. It is one of the first popularizing books on geometry. In the third article we review one of the prominent personalities of recreational mathematics, Martin Gardner. The fourth article is in some sense a sequel to the third one. It deals with treachery of mathematical intuition and mathematical April Fool's hoaxes. The last article is devoted to the implementation recreational mathematics to education of students. 1
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Solving the Battleship Solitaire puzzle as an integer programming problem
Přibylová, Lenka ; Jablonský, Josef (advisor) ; Fábry, Jan (referee)
The bachelor thesis deals with the Battleship Solitaire puzzle. It introduces the history and the rules of this puzzle, which are thereafter used to formulate the puzzle as an integer programming problem. Two mathematical models based on different approaches are created, a cell-based model and a ship-based model. In order to determine whether a puzzle has a unique solution an objective function is added to each model. Both models are developed in LINGO modeling language and tested with different grid sizes. The test results show that even though the ship-based model uses fewer variables and constraints, it is too demanding in terms of data processing. It results in longer solving times and the model fails to find a solution for larger grids. Solving the problem using the cell-based model is significantly faster. The solution was found even for larger grids, though the solving time was very long.
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Solving recreational mathematics problems as discrete optimization problems
Verner, Jan ; Jablonský, Josef (advisor) ; Fábry, Jan (referee)
The work is focused on the role of discrete linear programming and recreational mathematics. The aim of this work is to acquaint the reader with recreational mathematics and formulations of recreational mathematics problems as integer linear programming problems. This is demonstrated on two board games problems, which are described by a mathematical model and solved with the MPL optimization software. One main part involves the analysis and solution of a Peg solitaire game version, the reader is also been acquainted with.
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