In the beginning of the thesis, the history of mathematics is presented, especially the history of Greek mathematics. It is followed by the presentation of a Greek mathematician, Archytas of Tarentum, who is the focal person in the thesis. The core of the thesis is dedicated to two of his major contributions in the field of mathematics, namely the problem of doubling the cube, which was solved with the help of a curve, which is now named Archytas’ curve after him, and finding out that the product of two consecutive integers is never a square number. In this conclusion I also involved a bit of computing, as the solutions are presented using the C++ programming language.
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