34692 - Applied Mathematical Physics

Learning outcomes

The student will be exposed to some of the subjects that are most fundamental in Mathematical Physics, with a preference for those that are more useful in the applications.

Course contents

The syllabus is divided in two parts, roughly corresponding to the two semesters:

• Elements of Hamiltonian mechanics, kinetic theory and statistical mechanics
• Elements of probability and information theory

Details of the syllabus will be constantly provided in the course blog.

Readings/Bibliography

For the elements of Hamiltonian mechanics, one can refer to the notes by Prof. Giancarlo Benettin.

About kinetic theory and statistical mechanics:

• Huang, "Statistical Mechanics", 2nd ed., Wiley

See also the notes by Prof. Emanuele Caglioti.

About information theory:

• Cover, Thomas, "Elements of Information Theory", 2nd ed., Wiley

As a support on probability theory:

• Contucci, Isola, "Probabilita` elementare", Zanichelli
• Sinai, "Probability Theory", Springer

Teaching methods

Classroom lectures

Assessment methods

(Elective) written classroom tests plus final oral exam

Teaching tools

Course blog.

Office hours

See the website of Marco Lenci