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This course is devoted to ancient Greek mathematics.
Last update: Staněk Jakub, RNDr., Ph.D. (14.06.2019)
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Successful completion of a written test (120 minutes). It is necessary to demonstrate an understanding of all the topics discussed in the lecture. Last update: Halas Zdeněk, Mgr., DiS., Ph.D. (29.10.2019)
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M. Kline: Mathematical Thought from Ancient to Modern Times. Oxford Univ. Press, New York 1990.
R. Cooke: The History of Mathematics, A Brief Course. Wiley, New York 1997.
J. Stillwell: Mathematics and Its History. Springer-Verlag, New York 1994.
W. S. Anglin: Mathematics - A Concise History and Philosophy. Springer-Verlag, New York 1994.
W. S. Anglin, J. Lambek: The Heritage of Thales. Springer-Verlag, New York 1995.
H. Gericke: Mathematik in Antik, Orient und Abendland. FourierVerlag, Wiesbaden 2003. Last update: Halas Zdeněk, Mgr., DiS., Ph.D. (14.06.2019)
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1. The beginning of the Greek philosophy and mathematics.
2. The discovery of incommensurability and its consequences.
3. The first crisis of mathematics. The way out of this crisis.
4. The famous problems of Greek antiquity. Squaring of the circle, trisection the angle, duplication of the cube.
5. "Nonclassical" solving of clasical problems. Hippokrates, Hippias, Archytas, Menaechmus, Dinostratus.
6. The problems with infinity. Zeno of Elea and his arguments about motion. Theodorus of Cyrene and Theaetetus, Eudoxus and his method of exhaustion.
7. Eudoxus, theory of proportion.
8. Socrates, Plato, Aristotle.
9. Archimedes, his life, work and activities.
10. Eratosthenes and his work. Apollonius, Claudius Ptolemy.
11. Diophantus of Alexandria and his Arithmetica. Pappus and his Mathematical Collection. Last update: Halas Zdeněk, Mgr., DiS., Ph.D. (14.06.2019)
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