Geometric Methods in Physics 1

Lecturer:

Libor Šnobl (gar.), Jiří Tolar (gar.)

Tutor:

Libor Šnobl (gar.), Jiří Tolar (gar.)

Supervisor:

Department of Physics

Synopsis:

Foundations of analysis on manifolds. Differential forms. Integration, Stokes theorem.

Requirements:

The course of theoretical physics (02TEF1, 02TEF2)

Syllabus of lectures:

1. - 3. Foundations of analysis on manifolds.

4. - 6. Differential geometry

7. - 9. Differential forms

10. - 12. Integration on manifolds

13. Stokes theorem.

Syllabus of tutorials:

Solving exercises on the following topics:

1. - 3. Foundations of analysis on manifolds.

4. - 6. Differential geometry

7. - 9. Differential forms

10. - 12. Integration on manifolds

13. Stokes theorem.

Study Objective:

Knowledge:

Foundations of analysis on manifolds

Skills:

Application of geometrical methods in theoretical physics

Study materials:

Key references:

[1]L. Krump, V. Souček, J.A. Těšínský: Mathematical Analysis on Manifolds (in Czech), Karolinum Praha 1998

Recommended references:

[2] M. Nakahara: Geometry, Topology and Physics, IOP Publishing, Bristol 1998

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

• FNSPE Prospectus BC level (!)