1:29:40
1. Affine and Euclidean Geometry: The modern approach
Centrum Fizyki Teoretycznej PAN
1:28:18
2. Aristotle versus Galilei-Newton. Different visions of space an time.
1:40:56
3. Cartesian (flat), spherical and Lobachewskian geometries. Wave equation
1:30:30
4. Propagation of sound: 3D wave equation.Lorentz's transformations: symmetries of the wave equation
1:34:09
5. Lorentz transformation continued. Initial value problem. Huyghens principle
1:42:20
6. Wave equation in 4D spacetime
1:32:19
7. Initial value problem. Strong Huygens principle. Maxwell equations.
1:52:46
8.Dynamics of the Maxwell field.Pedestrian theory of spherical functions.Michelson-Morley experiment
1:40:34
9. Hyperbolic versus elliptic equations. Electromagnetic field as a 4D-differential two-form
1:35:14
10. Electromagnetic field as a differential 2-form and its Lorentz transformation.
19:23
11. Lorentz transformation of the electromagnetic field—continued.
1:36:22
12. Tensors versus tensor densities. Stokes theorem
1:26:20
13. Maxwell equations in any curvilinear coordinate system
1:39:19
14. Motion of a charged particle. Lorentz force. E=mc^2
1:25:21
15. Lorentz force continued. Apparent "paradoxes" of the Relativity Theory