Classical Mechanics

Parsa Rangriz, Physics Undergraduate Student, Sharif University of Technology

I will try to develop a mathematically precise approach to classical mechanics. Specifically Lagrangian and Hamiltonian mechanics will be discussed in a more precise manner.


Session 1: October 1, 2020
Euclidean and Metric Spaces
Session 2: October 8, 2020
Metric Spaces and Function Spaces
Session 3: October 15, 2020
Function Spaces
Session 4: October 22, 2020
Calculus of Variations
Session 5: October 29, 2020
Calculus of Variations & D’Alembert’s Principle
Session 6: November 5, 2020
Hamilton’s principle and Lagrangian Mechanics
Session 7: November 12, 2020
Lagrangian Mechanics and The Hamiltonian Function
Session 8: November 26, 2020
The Legendre Transformation, Examples of Canonical Systems
Session 9: December 5, 2020
Symmetries and Conservation Laws, Rotation Group