History of Mathematics 1
A.Y. 2019/2020
Learning objectives
Analysis of some fundamental moments in the path of history of mathematics.
Expected learning outcomes
Students will acquire adequate methods, both technical and critical, that will enable them to get more familiar with some fundamental masterpieces of the history of mathematics.
Lesson period: Second semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Lesson period
Second semester
Course syllabus
·Differential geometry before the advent of Gauss: Euler, Monge and Meusnier.
·Gauss's Disquisitiones generales circa superficies curvas: commented reading of the entire text.
·Riemann's Habilitationsvortrag di Riemann: commented reading of the entire text.
·Beltrami: model of hyperbolic geometry and spaces with constant curvature. Hilbert's theorem (1901)
·Prehistory of absolute differential calculus: Christoffel and Lipschitz.
·Ricci and Levi--Civita's Méthodes de calcul différentiel absolu et leurs applications: commented reading of some parts of the paper.
·Nozione di parallelismo in una varietà qualunque e conseguente specificazione geometrica della curvatura riemanniana: commented reading of parts of Levi--Civita's fundamental memoir.
·Gauss's Disquisitiones generales circa superficies curvas: commented reading of the entire text.
·Riemann's Habilitationsvortrag di Riemann: commented reading of the entire text.
·Beltrami: model of hyperbolic geometry and spaces with constant curvature. Hilbert's theorem (1901)
·Prehistory of absolute differential calculus: Christoffel and Lipschitz.
·Ricci and Levi--Civita's Méthodes de calcul différentiel absolu et leurs applications: commented reading of some parts of the paper.
·Nozione di parallelismo in una varietà qualunque e conseguente specificazione geometrica della curvatura riemanniana: commented reading of parts of Levi--Civita's fundamental memoir.
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS - University credits: 6
Lessons: 42 hours
Professor:
Galuzzi Massimo
Shifts:
-
Professor:
Galuzzi Massimo