- Docente: Salvatore Coen
- Credits: 9
- SSD: MAT/04
- Language: Italian
- Moduli: Maria Giulia Lugaresi (Modulo 1) Salvatore Coen (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Mathematics (cod. 8208)
Course contents
Module 1 (prof. Coen)
Mathematics in sumerian, babylonese, egyptian Civilizations: Arithmetic and Geometry
Pythagoras
Maths in Plato
Euclid's Elements. Ruler and compass constructions. The Theory of Proportion as in the Book V of the Elements.
A short survey on mathematics in the Alexandrian period. Archimedes of Syracure. Apollonius of Perga. Heron of Alexandria, Ptolemy of Alexandria. Diophantus of Alexandria.
Module 2 (prof. Bolond)
Chronosyntesis of the history of Mathematics
Some turning points:
Writing Numbers
Algebra in XVI and XVII century (and before): Fibonacci, Luca Pacioli, Cardano, Ferrari, tartaglia, Bombelli, Viéte The origin of calculus: Fermat, Newton, Leibniz
The origin of Probability: The Bernoullis, Euler, Laplace
The crisis of foundations
Bourbaki
Readings/Bibliography
Euclide, Gli Elementi, a cura di Attilio Frajese e Lamberto Maccioni. 1996.
Thomas Heath, A History of Greek Mathematics, Clarendon Press, Oxford, 1921,
Morris Kline, Mathematical Thought form Ancient to Modern Times, New York: Oxford University Press, 1972
Office hours
See the website of Salvatore Coen
See the website of Maria Giulia Lugaresi