Mathematical Physics

Mathematical Physics

Credits

12

Prerequisites

Mathematical Analysis 1.

Examination method

Passing a written exam and an oral exam

Learning
objectives

The aim of the course is to introduce (for students of the Bachelor’s Degree in Mathematics) the elementary mathematical structures that are intrinsic to classical dynamics, both in their global geometric formulation (according to Newton and d’Alembert) and in their local analytical version (according to Lagrange and Hamilton). The purpose is to show classical dynamics as a significant source of theoretical mathematics as well as a paradigmatic area of applied mathematics.

Contents

Differential calculus and differential equations in Euclidean spaces. Newtonian, Lagrangian and Hamiltonian mechanics. Applications to celestial and terrestrial dynamics.

Academic Year
2023/2024