Topics in Geometry
- Professors:
- Demichelis Stefano
- Year:
- 2014/2015
- Course code:
- 504161
- ECTS:
- 6
- SSD:
- MAT/02
- DM:
- 270/04
- Lessons:
- 56
- Language:
- Italiano
Objectives
History of mathematics.
Teaching methods
Lectures.
Examination
Written exam, if passed oral exam.
Prerequisites
Abstract algebra till Galois theory.
Syllabus
Pythagoras, Eudoxus, Archimedes, Apollonius, Diophantus.
Introduction to the history of mathematics and its relation with some aspects of modern number theory.
Introduction to the history of mathematics and its relation with some aspects of modern number theory.
Bibliography
Khinchin,Continued Fractions. University of Chicago Press.
Harvey Cohn, Introduction to the Construction of Class Fields
Daniel A. Marcus , Number Fields, Springer (come referenza per la teoria dei numeri).
Per la parte storica:
D. H. Fowler, The mathematics of Plato's Academy: a new reconstruction, Clarendon Press, 2 edition,1999
Th. Heath, A History of Greek Mathematics, Dover
R. Netz, The Transformation of Mathematics in the Early Mediterranean World (Cambridge Classical Studies)
J. Klein, Greek Mathematical Thought and the Origin of Algebra,Courier Dover Publications, 1992.
Harvey Cohn, Introduction to the Construction of Class Fields
Daniel A. Marcus , Number Fields, Springer (come referenza per la teoria dei numeri).
Per la parte storica:
D. H. Fowler, The mathematics of Plato's Academy: a new reconstruction, Clarendon Press, 2 edition,1999
Th. Heath, A History of Greek Mathematics, Dover
R. Netz, The Transformation of Mathematics in the Early Mediterranean World (Cambridge Classical Studies)
J. Klein, Greek Mathematical Thought and the Origin of Algebra,Courier Dover Publications, 1992.
Dipartimento di Matematica ''F. Casorati''
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602