Study-unit HISTORY OF MATHEMATICS I

Course name Mathematics
Study-unit Code 55A00102
Curriculum Didattico-generale
Lecturer Daniele Bartoli
Lecturers
  • Daniele Bartoli
Hours
  • 42 ore - Daniele Bartoli
CFU 6
Course Regulation Coorte 2023
Supplied 2024/25
Supplied other course regulation
Learning activities Affine/integrativa
Area Attività formative affini o integrative
Sector MAT/04
Type of study-unit Opzionale (Optional)
Type of learning activities Attività formativa monodisciplinare
Language of instruction italiano
Contents History of Infinitesimal Calculus. History of Non-Euclidean Geometries. Crisis in the Foundations during the nineteenth century.
Reference texts Gli Elementi di Euclide-edizione U.T.E.T.
La Geometria di Cartesio-edizione U.T.E.T.
C. B. Boyer Storia delle matematiche, Mondadori. Varie edizioni in italiano.
Morris Kline, Storia del pensiero matematico, Einuadi Editore, 1991.
Educational objectives The course aims to facilitate the acquisition of a historical vision of some significant moments in the development of mathematics. The evolution of some of the main concepts, methods and theories is presented. As didactic purpose, we propose to educate to the identification and understanding of epistemological obstacles emerged in the arrangement of some mathematical concepts over the centuries, providing adequate tools to overcome them.
Prerequisites no particular prerequisites
Teaching methods Frontal lessons, use of original texts
Other information Further materials and references will be provided during the lessons and made available on Unistudium
Learning verification modality Oral exam on the whole program of the course.
The duration of the interview can vary between about 30 and 45 minutes. See also http://www.unipg.it/disabilita-e-dsa
Extended program Euclide, Archimede, Platone, Aristotele, Cavalieri, Torricelli, Newton, Leibniz, Saccheri, Frege, Russell
Obiettivi Agenda 2030 per lo sviluppo sostenibile 4