The pre-scientific empirical mathematics of ancient civilizations. The beginnings of Greek mathematics, the formation of mathematics in axiomatic - productive science. The three famous problems of Greek antiquity. The contribution of Ancient Greek philosophies to the formation of Mathematical Thought.
Mathematics as an axiomatic deductive science. Euclid’s axiomatic system. Archimedes and the ancient method of integration. Mathematics and other scientific fields in Greek antiquity (Astronomy – Optics – Acoustics – Statics – Hydrostatics- Kinematic). Ancient formal Logic (Aristotle, Stoics). Mathematics after Archimedes: Apollonius of Perga, Pappus of Alexandria, Heron of Alexandria, Diophantus of Alexandria