- Docente: Alexandr Kamenchtchik
- Credits: 6
- SSD: FIS/02
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Physics (cod. 9245)
Learning outcomes
At the end of the course the student will learn some of the mathematical tools necessary for the study of modern theoretical physics. In particular, he/she will acquire advanced analytical and geometrical methods that have a wide range of theoretical applications.
Course contents
1. Manifolds, vectors, tensors, forms.
2. Tensor calculus.
3. Lie derivatives.
4. Differential forms and their applications.
5. Lie groups and their Lie algebras.
6. Metric and affine connection. Riemannian geometry.
Readings/Bibliography
My lectures notes.
Teaching methods
Lectures on the blackboard.
Assessment methods
Oral exams.
Teaching tools
Lectures.
Office hours
See the website of Alexandr Kamenchtchik