HISTORY OF MATHEMATICS
Stampa
Enrollment year
2020/2021
Academic year
2020/2021
Regulations
DM270
Academic discipline
MAT/04 (COMPLEMENTARY MATHEMATICS)
Department
DEPARTMENT OF PHYSICS
Course
PHYSICAL SCIENCES
Curriculum
Didattica e storia della fisica
Year of study
Period
1st semester (05/10/2020 - 20/01/2021)
ECTS
6
Lesson hours
48 lesson hours
Language
Italian
Activity type
ORAL TEST
Teacher
ROSSO RICCARDO (titolare) - 6 ECTS
Prerequisites
Knowledge of elementary probabilty at the level of an undergraduate student.
Learning outcomes
The course aims to presenting the historical development of the theory of probability.
Course contents
Prehistory of probability. Problems in combinatorial analysis related to game of chances. The problem of points from late-medieval manuscript to De Moivre. Early applications of the calculus of probability to mortality tables and life annuities. Jacob bernoulli's "Ars Conjectandi". The Bernoulli-De Moivre theorem. The Saint Petersburg's paradox. The birth of inverse probability: Bayes, Price and Laplace. Error theory. The criticism on the foundations of pobability. The different approaches to probability: frequentist (von Mises), logicist (Keynes), subjective (De Finetti and Ramsey). The axiomatic approach to probability calculus from Bohlmann to Kolmogorov.
Teaching methods
Lessons in a class
Reccomended or required readings
I. Hacking "L'emergenza della probabilità" Il Saggiatore (1975).
A. Hald: "History of Probability and Statistics and their applications before 1750" Wiley (2003).
A. Hald: "A History of Mathematical Statistics From 1750 to 1930" Wiley (1998).
M.C. Galavotti: "Philosophical Introduction to Probability" CSLI (2005).
I. Dale: "A History of Inverse Probability. From Thomas Bayes to Karl Pearson" Springer (1999).
T.M. Porter: "The rise of statistical thinking 1820-1900" Princeton University Press (1986).
S.M. Stigler: " The History of Statistics. The measurement of Uncertainty before 1900".
J. von Plato: "Creating modern probability" Cambridge University Press (1998).
Notes available on the website of the course.
Assessment methods
Oral exam. The student chooses a topic to present among those covered in the course. Other questions are chosen by the teacher, clearly among topics covered in the course
Further information
Sustainable development goals - Agenda 2030